Techniques for determining workload skew

ABSTRACT

Described are techniques that determine cumulative skew curves. A first model is determined that generates a predicted destination cumulative skew curve for a specified data set in a destination data storage system having a destination data movement granularity. The predicted destination cumulative skew curve is predicted by the first model in accordance with one or more inputs including a source cumulative skew curve for the specified data set in a source data storage system that uses a source data movement granularity. The source cumulative skew curve for the specified data set is determined based on observed data. First processing is performed using the first model. The first model generates as an output the predicted destination cumulative skew curve. The first processing includes providing the one or more inputs to the first model. Also described is how to generate the first model.

BACKGROUND Technical Field

This application generally relates to workloads and determining workload skew.

Description of Related Art

Computer systems may include different resources used by one or more host processors. Resources and host processors in a computer system may be interconnected by one or more communication connections. These resources may include, for example, data storage devices such as those included in the data storage systems manufactured by EMC Corporation. These data storage systems may be coupled to one or more host processors and provide storage services to each host processor. Multiple data storage systems from one or more different vendors may be connected and may provide common data storage for one or more host processors in a computer system.

A host may perform a variety of data processing tasks and operations using the data storage system. For example, a host may perform basic system I/O operations in connection with data requests, such as data read and write operations.

Host systems may store and retrieve data using a data storage system containing a plurality of host interface units, disk drives, and disk interface units. Such data storage systems are provided, for example, by EMC Corporation of Hopkinton, Mass. The host systems access the storage system devices through a plurality of channels provided therewith. Host systems provide data and access control information through the channels to the storage device and storage device provides data to the host systems also through the channels. The host systems do not address the disk drives of the storage system directly, but rather, access what appears to the host systems as a plurality of logical units, logical devices or logical volumes. The logical units may or may not correspond to the actual physical disk drives. Allowing multiple host systems to access the same plurality of logical units allows the host systems to share data stored therein.

In connection with data storage, a variety of different technologies may be used. Data may be stored, for example, on different types of disk devices and/or flash memory devices. The data storage environment may define multiple storage tiers in which each tier includes physical devices or drives of varying technologies, performance characteristics, and the like. The physical devices of a data storage system, such as a data storage array, may be used to store data for multiple applications.

SUMMARY OF THE INVENTION

In accordance with one aspect of the invention is a method for predicting cumulative skew curves comprising: determining a first model that generates a predicted destination cumulative skew curve for a specified data set in a destination data storage system having a destination data movement granularity, the predicted destination cumulative skew curve being predicted by the first model in accordance with one or more inputs including a source cumulative skew curve for the specified data set in a source data storage system that uses a source data movement granularity; determining the source cumulative skew curve for the specified data set based on observed data; and performing first processing using the first model that generates as an output the predicted destination cumulative skew curve, the first processing including providing the one or more inputs to the first model. The one or more inputs may include one or more features determined in accordance with the source cumulative skew curve and the specified data set. The one or more features may include any one or more of a total area under a cumulative skew curve, an integral for each point in an unfitted skew curve, a derivative at each point in an unfitted curve, an integral at each point in an unfitted curve, a total number of I/Os, a total capacity, a ratio regarding read/write activity, an active capacity, an active capacity ratio, a total number of read I/Os, a total number of write I/Os, an idle capacity, and one or more time-based characteristics. The source cumulative skew curve may include a plurality of observed data points each having a first coordinate and a second coordinate, the first coordinate representing a first ratio of a first aggregated capacity with respect to a total capacity, the total capacity representing a total size of a total set of data portions, the first aggregated capacity representing a capacity of a first set of one or more data portions of the total set, each data portion of the first set having a higher workload than any other data portion of the total set that is not included in the first set, the second coordinate representing a second ratio of an aggregated workload with respect to a total workload directed to the total set of data portions whereby the aggregated workload is directed to the first set of one or more data portions. The predicted destination cumulative skew curve may include a plurality of predicted data points each having a third coordinate and a fourth coordinate, the third coordinate representing a third ratio of a third aggregated capacity with respect to the total capacity, the third aggregated capacity representing a capacity of a third set of one or more data portions of the total set, each data portion of the third set having a higher workload than any other data portion of the total set that is not included in the third set, the fourth coordinate representing a fourth ratio of a second aggregated workload with respect to the total workload whereby the second aggregated workload is directed to the third set of one or more data portions. Determining the first model may include determining one or more pairs of cumulative skew curves based on first observed data identifying workloads directed to different data portions, each pair of cumulative skew curves including a first cumulative skew curve based on the source data movement granularity and a second cumulative skew curve based on the destination data movement granularity; training a set of one or more machine learning regression algorithms and generating a set of one of more candidate prediction models using the set of one or more machine learning regression algorithms, wherein the training is performed using one or more inputs including at least a first portion of the one or more pairs of cumulative skew curves; testing the set of one or more candidate prediction models using one or more inputs including at least a second portion of the one or more pairs of cumulative skew curves; and determining, in accordance with one or more selection criteria, a first of the one or more candidate prediction models that is optimal in accordance with the one or more selection criteria, wherein the first candidate prediction model is the first model. The training may be performed using a first partition of the first observed data and the testing may be performed using a second partition of the first observed data. The method may include monitoring received I/O operations directed to the different data portions for a total time period and generating the first observed data; partitioning the first observed data into a plurality of observed data portions each corresponding to a continuous period of time; scaling data of each of the plurality of observed data portions in accordance with each of the source data movement granularity and the destination data movement granularity; and determining, for each of the plurality of observed data portions, one of the one or more pairs of skew curves based on each observed data portion. Determining the first model may include determining a feature set of one or more features which characterize the first observed data; and specifying feature values for the feature set for each cumulative skew curve of the one or more pairs based on the source data movement granularity, the feature values characterizing one of the plurality of observed data portions used in determining each cumulative skew graph that is based on the source data movement granularity. The one or more selection criteria may include an error function. Each of the source cumulative skew curve and the predicted destination cumulative skew curve may approximate an exponential function. The source data movement granularity may identify a size of data portions for which data movement optimizations are performed in a source data storage system. The predicted destination cumulative skew curve may be used in capacity planning for the destination data storage system having the destination data movement granularity. The destination data movement granularity may identify a size of data portions for which data movement optimizations are performed in the destination data storage system. The source data storage system may include a first plurality of storage tiers of physical devices whereby data movement optimizations within the source data storage system automatically move first data portions between different storage tiers based on dynamically changing workload directed to the first data portions, and wherein the destination data storage system may include a second plurality of storage tiers of physical devices whereby data movement optimizations within the destination data storage system automatically move second data portions between different storage tiers based on dynamically changing workload directed to second data portions. The method may include determining another source cumulative skew curve for another specified data set in a data storage system having the source data movement granularity, and performing second processing using the first model that generates as an output another predicted destination cumulative skew curve for the another specified data set in a data storage system having the destination data movement granularity. The second processing may include providing another one or more inputs including the another source cumulative skew curve to the first model.

In accordance with another aspect of the invention is a computer readable medium including code stored thereon that predicts cumulative skew curves, the computer readable medium comprising code stored thereon that, when executed by a processor, performs a method comprising: determining a first model that generates a predicted destination cumulative skew curve for a specified data set in a destination data storage system having a destination data movement granularity, the predicted destination cumulative skew curve being predicted by the first model in accordance with one or more inputs including a source cumulative skew curve for the specified data set in a source data storage system that uses a source data movement granularity; determining the source cumulative skew curve for the specified data set based on observed data; and performing first processing using the first model that generates as an output the predicted destination cumulative skew curve, the first processing including providing the one or more inputs to the first model. The one or more inputs may include one or more features determined in accordance with the source cumulative skew curve and the specified data set. The one or more features may include any one or more of a total area under a cumulative skew curve, an integral for each point in an unfitted skew curve, a derivative at each point in an unfitted curve, an integral at each point in an unfitted curve, a total number of I/Os, a total capacity, a ratio regarding read/write activity, an active capacity, an active capacity ratio, a total number of read I/Os, a total number of write I/Os, an idle capacity, and one or more time-based characteristics.

In accordance with another aspect of the invention is a system comprising: a source data storage system including a specified data set stored on one or more devices of the source data storage system, wherein the source data storage system performs data movement optimizations that automatically move data portions between different storage tiers based on dynamically changing workload directed to data portions, wherein data movement optimizations in the source data storage system move data portions each of which has a size equal to a source data movement granularity; a destination data storage system that performs data movement optimizations that automatically move data portions between different storage tiers based on dynamically changing workload directed to data portions, wherein data movement optimizations in the destination data storage system move data portions each of which has a size equal to a destination data movement granularity; and a memory including code stored therein that predicts cumulative skew curves, wherein the code, when executed by a processor, performs a method comprising: determining a first model that generates a predicted destination cumulative skew curve for the specified data set in the destination data storage system having the destination data movement granularity, the predicted destination cumulative skew curve being predicted by the first model in accordance with one or more inputs including a source cumulative skew curve for the specified data set in the source data storage system that uses the source data movement granularity; determining the source cumulative skew curve for the specified data set based on observed data; and performing first processing using the first model that generates as an output the predicted destination cumulative skew curve, the first processing including providing the one or more inputs to the first model.

BRIEF DESCRIPTION OF THE DRAWINGS

Features and advantages of the present invention will become more apparent from the following detailed description of exemplary embodiments thereof taken in conjunction with the accompanying drawings in which:

FIG. 1 is an example of an embodiment of a system that may utilize the techniques described herein;

FIG. 2 is a representation of the logical internal communications between the directors and memory included in one embodiment of a data storage system of FIG. 1;

FIG. 3 is an example representing components that may be included in a service processor in an embodiment in accordance with techniques herein;

FIGS. 4, 5A and 5B are examples illustrating a data storage system, such as data storage array, including a plurality of storage tiers in an embodiment in accordance with techniques herein;

FIG. 5C is a schematic diagram illustrating tables that are used to keep track of device information in connection with an embodiment of the system described herein;

FIG. 5D is a schematic diagram showing a group element of a thin device table in connection with an embodiment of the system described herein;

FIGS. 6 and 7 are examples illustrating a storage group, allocation policy and associated storage tiers in an embodiment in accordance with techniques herein;

FIGS. 8A and 8B are examples illustrating thin devices and associated structures that may be used in an embodiment in accordance with techniques herein;

FIG. 9 is an example illustrating data portions comprising a thin device's logical address range;

FIG. 10 is an example of performance information that may be determined in connection with thin devices in an embodiment in accordance with techniques herein;

FIG. 11 is a graphical illustration of long term and short term statistics described herein;

FIGS. 12, 15, 17, 18, and 19 are flowcharts of processing steps that may be performed in an embodiment in accordance with techniques herein;

FIGS. 13 and 13A-13E are examples of performance curves that may be used to model device response time and in selection of weights for scoring calculations in an embodiment in accordance with techniques herein;

FIGS. 14, 14A and 16 illustrate histograms that may be used in threshold selection in accordance with techniques herein;

FIG. 16A is a flow chart illustrating processing performed in connection with creating histograms for promotion and demotion of data to different tiers of storage according to an embodiment of the system described herein;

FIG. 16B is a flow chart illustrating processing performed in connection with determining lower boundary values to facilitate mapping raw scores into histogram buckets according to an embodiment of the system described herein;

FIG. 16C is a diagram illustrating a data structure used for storing data for super-extents according to an embodiment of the system described herein;

FIG. 16D is a flow chart illustrating processing performed in connection with creating a new super-extent according to an embodiment of the system described herein;

FIG. 16E is a flow chart illustrating processing performed in connection with adding extent information to a super-extent according to an embodiment of the system described herein;

FIG. 16F is a flow chart illustrating calculating a pivot value according to an embodiment of the system described herein;

FIGS. 20, 21, 25 and 28 are graphical representations of cumulative workload skew functions that may be used in an embodiment in accordance with techniques herein;

FIGS. 22, 23 and 24 are examples of activity or workload information that may be used in an embodiment in accordance with techniques herein;

FIGS. 26 and 27 are examples illustrating components that may be included in an embodiment in accordance with techniques herein;

FIG. 27B is an example illustrating use of a selected optimal prediction model in an embodiment in accordance with techniques herein; and

FIGS. 29 and 29B are flowcharts of processing steps that may be performed in an embodiment in accordance with techniques herein.

DETAILED DESCRIPTION OF EMBODIMENT(S)

Referring to FIG. 1, shown is an example of an embodiment of a system that may be used in connection with performing the techniques described herein. The system 10 includes a data storage system 12 connected to host systems 14 a-14 n through communication medium 18. In this embodiment of the computer system 10, and the n hosts 14 a-14 n may access the data storage system 12, for example, in performing input/output (I/O) operations or data requests. The communication medium 18 may be any one or more of a variety of networks or other type of communication connections as known to those skilled in the art. The communication medium 18 may be a network connection, bus, and/or other type of data link, such as a hardwire or other connections known in the art. For example, the communication medium 18 may be the Internet, an intranet, network (including a Storage Area Network (SAN)) or other wireless or other hardwired connection(s) by which the host systems 14 a-14 n may access and communicate with the data storage system 12, and may also communicate with other components included in the system 10.

Each of the host systems 14 a-14 n and the data storage system 12 included in the system 10 may be connected to the communication medium 18 by any one of a variety of connections as may be provided and supported in accordance with the type of communication medium 18. The processors included in the host computer systems 14 a-14 n may be any one of a variety of proprietary or commercially available single or multi-processor system, such as an Intel-based processor, or other type of commercially available processor able to support traffic in accordance with each particular embodiment and application.

It should be noted that the particular examples of the hardware and software that may be included in the data storage system 12 are described herein in more detail, and may vary with each particular embodiment. Each of the host computers 14 a-14 n and data storage system may all be located at the same physical site, or, alternatively, may also be located in different physical locations. Examples of the communication medium that may be used to provide the different types of connections between the host computer systems and the data storage system of the system 10 may use a variety of different communication protocols such as SCSI, Fibre Channel, iSCSI, and the like. Some or all of the connections by which the hosts and data storage system may be connected to the communication medium may pass through other communication devices, such switching equipment that may exist such as a phone line, a repeater, a multiplexer or even a satellite.

Each of the host computer systems may perform different types of data operations in accordance with different types of tasks. In the embodiment of FIG. 1, any one of the host computers 14 a-14 n may issue a data request to the data storage system 12 to perform a data operation. For example, an application executing on one of the host computers 14 a-14 n may perform a read or write operation resulting in one or more data requests to the data storage system 12.

It should be noted that although element 12 is illustrated as a single data storage system, such as a single data storage array, element 12 may also represent, for example, multiple data storage arrays alone, or in combination with, other data storage devices, systems, appliances, and/or components having suitable connectivity, such as in a SAN, in an embodiment using the techniques herein. It should also be noted that an embodiment may include data storage arrays or other components from one or more vendors. In subsequent examples illustrated the techniques herein, reference may be made to a single data storage array by a vendor, such as by EMC Corporation of Hopkinton, Mass. However, as will be appreciated by those skilled in the art, the techniques herein are applicable for use with other data storage arrays by other vendors and with other components than as described herein for purposes of example.

The data storage system 12 may be a data storage array including a plurality of data storage devices 16 a-16 n. The data storage devices 16 a-16 n may include one or more types of data storage devices such as, for example, one or more disk drives and/or one or more solid state drives (SSDs). An SSD is a data storage device that uses solid-state memory to store persistent data. An SSD using SRAM or DRAM, rather than flash memory, may also be referred to as a RAM drive. SSD may refer to solid state electronics devices as distinguished from electromechanical devices, such as hard drives, having moving parts. Flash devices or flash memory-based SSDs are one type of SSD that contains no moving parts. As described in more detail in following paragraphs, the techniques herein may be used in an embodiment in which one or more of the devices 16 a-16 n are flash drives or devices. More generally, the techniques herein may also be used with any type of SSD although following paragraphs may make reference to a particular type such as a flash device or flash memory device.

The data storage array may also include different types of adapters or directors, such as an HA 21 (host adapter), RA 40 (remote adapter), and/or device interface 23. Each of the adapters may be implemented using hardware including a processor with local memory with code stored thereon for execution in connection with performing different operations. The HAs may be used to manage communications and data operations between one or more host systems and the global memory (GM). In an embodiment, the HA may be a Fibre Channel Adapter (FA) or other adapter which facilitates host communication. The HA 21 may be characterized as a front end component of the data storage system which receives a request from the host. The data storage array may include one or more RAs that may be used, for example, to facilitate communications between data storage arrays. The data storage array may also include one or more device interfaces 23 for facilitating data transfers to/from the data storage devices 16 a-16 n. The data storage interfaces 23 may include device interface modules, for example, one or more disk adapters (DAs) (e.g., disk controllers), adapters used to interface with the flash drives, and the like. The DAs may also be characterized as back end components of the data storage system which interface with the physical data storage devices.

One or more internal logical communication paths may exist between the device interfaces 23, the RAs 40, the HAs 21, and the memory 26. An embodiment, for example, may use one or more internal busses and/or communication modules. For example, the global memory portion 25 b may be used to facilitate data transfers and other communications between the device interfaces, HAs and/or RAs in a data storage array. In one embodiment, the device interfaces 23 may perform data operations using a cache that may be included in the global memory 25 b, for example, when communicating with other device interfaces and other components of the data storage array. The other portion 25 a is that portion of memory that may be used in connection with other designations that may vary in accordance with each embodiment.

The particular data storage system as described in this embodiment, or a particular device thereof, such as a disk or particular aspects of a flash device, should not be construed as a limitation. Other types of commercially available data storage systems, as well as processors and hardware controlling access to these particular devices, may also be included in an embodiment.

Host systems provide data and access control information through channels to the storage systems, and the storage systems may also provide data to the host systems also through the channels. The host systems do not address the drives or devices 16 a-16 n of the storage systems directly, but rather access to data may be provided to one or more host systems from what the host systems view as a plurality of logical devices, logical volumes (LVs) which are sometimes also referred to as logical units (e.g., LUNs). The LUNs may or may not correspond to the actual physical devices or drives 16 a-16 n. For example, one or more LUNs may reside on a single physical drive or multiple drives. Data in a single data storage system, such as a single data storage array, may be accessed by multiple hosts allowing the hosts to share the data residing therein. The HAs may be used in connection with communications between a data storage array and a host system. The RAs may be used in facilitating communications between two data storage arrays. The DAs may be one type of device interface used in connection with facilitating data transfers to/from the associated disk drive(s) and LUN(s) residing thereon. A flash device interface may be another type of device interface used in connection with facilitating data transfers to/from the associated flash devices and LUN(s) residing thereon. It should be noted that an embodiment may use the same or a different device interface for one or more different types of devices than as described herein.

It should be noted that the host may further include host-side device mapping which further maps an exposed LUN or logical device of the data storage system to one or more host-side logical device mapping layers.

In an embodiment, the data storage system as described may be characterized as having one or more logical mapping layers in which a logical device of the data storage system is exposed to the host whereby the logical device is mapped by such mapping layers of the data storage system to one or more physical devices. Additionally, the host may also have one or more additional mapping layers so that, for example, a host side logical device or volume is mapped to one or more data storage system logical devices as presented to the host.

The device interface, such as a DA, performs I/O operations on a drive 16 a-16 n. In the following description, data residing on a LUN may be accessed by the device interface following a data request in connection with I/O operations that other directors originate. Data may be accessed by LUN in which a single device interface manages data requests in connection with the different one or more LUN s that may reside on a drive 16 a-16 n. For example, a device interface may be a DA that accomplishes the foregoing by creating job records for the different LUN s associated with a particular device. These different job records may be associated with the different LUN s in a data structure stored and managed by each device interface.

Also shown in FIG. 1 is a service processor 22 a that may be used to manage and monitor the system 12. In one embodiment, the service processor 22 a may be used in collecting performance data, for example, regarding the I/O performance in connection with data storage system 12. This performance data may relate to, for example, performance measurements in connection with a data request as may be made from the different host computer systems 14 a 14 n. This performance data may be gathered and stored in a storage area. Additional detail regarding the service processor 22 a is described in following paragraphs.

It should be noted that a service processor 22 a may exist external to the data storage system 12 and may communicate with the data storage system 12 using any one of a variety of communication connections. In one embodiment, the service processor 22 a may communicate with the data storage system 12 through three different connections, a serial port, a parallel port and using a network interface card, for example, with an Ethernet connection. Using the Ethernet connection, for example, a service processor may communicate directly with DAs and HAs within the data storage system 12.

Referring to FIG. 2, shown is a representation of the logical internal communications between the directors and memory included in a data storage system. Included in FIG. 2 is a plurality of directors 37 a-37 n coupled to the memory 26. Each of the directors 37 a-37 n represents one of the HAs, RAs, or device interfaces that may be included in a data storage system. In an embodiment disclosed herein, there may be up to sixteen directors coupled to the memory 26. Other embodiments may allow a maximum number of directors other than sixteen as just described and the maximum number may vary with embodiment.

The representation of FIG. 2 also includes an optional communication module (CM) 38 that provides an alternative communication path between the directors 37 a-37 n. Each of the directors 37 a-37 n may be coupled to the CM 38 so that any one of the directors 37 a-37 n may send a message and/or data to any other one of the directors 37 a-37 n without needing to go through the memory 26. The CM 38 may be implemented using conventional MUX/router technology where a sending one of the directors 37 a-37 n provides an appropriate address to cause a message and/or data to be received by an intended receiving one of the directors 37 a-37 n. In addition, a sending one of the directors 37 a-37 n may be able to broadcast a message to all of the other directors 37 a-37 n at the same time.

With reference back to FIG. 1, components of the data storage system may communicate using GM 25 b. For example, in connection with a write operation, an embodiment may first store the data in cache included in a portion of GM 25 b, mark the cache slot including the write operation data as write pending (WP), and then later de-stage the WP data from cache to one of the devices 16 a-16 n. In connection with returning data to a host from one of the devices as part of a read operation, the data may be copied from the device by the appropriate device interface, such as a DA servicing the device. The device interface may copy the data read into a cache slot included in GM which is, in turn, communicated to the appropriate HA in communication with the host.

As described above, the data storage system 12 may be a data storage array including a plurality of data storage devices 16 a-16 n in which one or more of the devices 16 a-16 n are flash memory devices employing one or more different flash memory technologies. In one embodiment, the data storage system 12 may be a Symmetrix® DMX™ or VMAX™ data storage array by EMC Corporation of Hopkinton, Mass. In the foregoing data storage array, the data storage devices 16 a-16 n may include a combination of disk devices and flash devices in which the flash devices may appear as standard Fibre Channel (FC) drives to the various software tools used in connection with the data storage array. The flash devices may be constructed using nonvolatile semiconductor NAND flash memory. The flash devices may include one or more SLC (single level cell) devices and/or MLC (multi level cell) devices.

It should be noted that the techniques herein may be used in connection with flash devices comprising what may be characterized as enterprise-grade or enterprise-class flash drives (EFDs) with an expected lifetime (e.g., as measured in an amount of actual elapsed time such as a number of years, months, and/or days) based on a number of guaranteed write cycles, or program cycles, and a rate or frequency at which the writes are performed. Thus, a flash device may be expected to have a usage measured in calendar or wall clock elapsed time based on the amount of time it takes to perform the number of guaranteed write cycles. The techniques herein may also be used with other flash devices, more generally referred to as non-enterprise class flash devices, which, when performing writes at a same rate as for enterprise class drives, may have a lower expected lifetime based on a lower number of guaranteed write cycles.

The techniques herein may be generally used in connection with any type of flash device, or more generally, any SSD technology. The flash device may be, for example, a flash device which is a NAND gate flash device, NOR gate flash device, flash device that uses SLC or MLC technology, and the like, as known in the art. In one embodiment, the one or more flash devices may include MLC flash memory devices although an embodiment may utilize MLC, alone or in combination with, other types of flash memory devices or other suitable memory and data storage technologies. More generally, the techniques herein may be used in connection with other SSD technologies although particular flash memory technologies may be described herein for purposes of illustration.

An embodiment in accordance with techniques herein may have one or more defined storage tiers. Each tier may generally include physical storage devices or drives having one or more attributes associated with a definition for that tier. For example, one embodiment may provide a tier definition based on a set of one or more attributes. The attributes may include any one or more of a storage type or storage technology, a type of data protection, device performance characteristic(s), storage capacity, and the like. The storage type or technology may specify whether a physical storage device is an SSD drive (such as a flash drive), a particular type of SSD drive (such using flash or a form of RAM), a type of magnetic disk or other non-SSD drive (such as an FC disk drive, a SATA (Serial Advanced Technology Attachment) drive), and the like. Data protection may specify a type or level of data storage protection such, for example, as a particular RAID level (e.g., RAID1, RAID-5 3+1, RAID5 7+1, and the like). Performance characteristics may relate to different performance aspects of the physical storage devices of a particular type or technology. For example, there may be multiple types of FC disk drives based on the RPM characteristics of the FC disk drives (e.g., 10K RPM FC drives and 15K RPM FC drives) and FC disk drives having different RPM characteristics may be included in different storage tiers. Storage capacity may specify the amount of data, such as in bytes, that may be stored on the drives. An embodiment may allow a user to define one or more such storage tiers. For example, an embodiment in accordance with techniques herein may define two storage tiers including a first tier of all SSD drives and a second tier of all non-SSD drives. As another example, an embodiment in accordance with techniques herein may define three storage tiers including a first tier of all SSD drives which are flash drives, a second tier of all FC drives, and a third tier of all SATA drives. The foregoing are some examples of tier definitions and other tier definitions may be specified in accordance with techniques herein.

Referring to FIG. 3, shown is an example 100 of software that may be included in a service processor such as 22 a. It should be noted that the service processor may be any one of a variety of commercially available processors, such as an Intel-based processor, and the like. Although what is described herein shows details of software that may reside in the service processor 22 a, all or portions of the illustrated components may also reside elsewhere such as, for example, on any of the host systems 14 a 14 n.

Included in the service processor 22 a is performance data monitoring software 134 which gathers performance data about the data storage system 12 through the connection 132. The performance data monitoring software 134 gathers and stores performance data and forwards this to the optimizer 138 which further stores the data in the performance data file 136. This performance data 136 may also serve as an input to the optimizer 138 which attempts to enhance the performance of I/O operations, such as those I/O operations associated with data storage devices 16 a-16 n of the system 12. The optimizer 138 may take into consideration various types of parameters and performance data 136 in an attempt to optimize particular metrics associated with performance of the data storage system 12. The performance data 136 may be used by the optimizer to determine metrics described and used in connection with techniques herein. The optimizer may access the performance data, for example, collected for a plurality of LUNs when performing a data storage optimization. The performance data 136 may be used in determining a workload for one or more physical devices, logical devices or volumes (LUNs) serving as data devices, thin devices (described in more detail elsewhere herein) or other virtually provisioned devices, portions of thin devices, and the like. The workload may also be a measurement or level of “how busy” a device is, for example, in terms of I/O operations (e.g., I/O throughput such as number of I/Os/second, response time (RT), and the like).

The response time for a storage device or volume may be based on a response time associated with the storage device or volume for a period of time. The response time may based on read and write operations directed to the storage device or volume. Response time represents the amount of time it takes the storage system to complete an I/O request (e.g., a read or write request). Response time may be characterized as including two components: service time and wait time. Service time is the actual amount of time spent servicing or completing an I/O request after receiving the request from a host via an HA 21, or after the storage system 12 generates the I/O request internally. The wait time is the amount of time the I/O request spends waiting in line or queue waiting for service (e.g., prior to executing the I/O operation).

It should be noted that the operations of read and write with respect to a LUN, thin device, and the like, may be viewed as read and write requests or commands from the DA 23, controller or other backend physical device interface. Thus, these are operations may also be characterized as a number of operations with respect to the physical storage device (e.g., number of physical device reads, writes, and the like, based on physical device accesses). This is in contrast to observing or counting a number of particular types of I/O requests (e.g., reads or writes) as issued from the host and received by a front end component such as an HA 21. To illustrate, a host read request may not result in a read request or command issued to the DA if there is a cache hit and the requested data is in cache. The host read request results in a read request or command issued to the DA 23 to retrieve data from the physical drive only if there is a read miss. Furthermore, when writing data of a received host I/O request to the physical device, the host write request may result in multiple reads and/or writes by the DA 23 in addition to writing out the host or user data of the request. For example, if the data storage system implements a RAID data protection technique, such as RAID-5, additional reads and writes may be performed such as in connection with writing out additional parity information for the user data. Thus, observed data gathered to determine workload, such as observed numbers of reads and writes, may refer to the read and write requests or commands performed by the DA. Such read and write commands may correspond, respectively, to physical device accesses such as disk reads and writes that may result from a host I/O request received by an HA 21.

The optimizer 138 may perform processing of the techniques herein set forth in following paragraphs to determine how to allocate or partition physical storage in a multi-tiered environment for use by multiple applications. The optimizer 138 may also perform other processing such as, for example, to determine what particular portions of thin devices to store on physical devices of a particular tier, evaluate when to migrate or move data between physical drives of different tiers, and the like. It should be noted that the optimizer 138 may generally represent one or more components that perform processing as described herein as well as one or more other optimizations and other processing that may be performed in an embodiment.

Described in following paragraphs are techniques that may be performed to determine promotion and demotion thresholds (described below in more detail) used in determining what data portions of thin devices to store on physical devices of a particular tier in a multi-tiered storage environment. Such data portions of a thin device may be automatically placed in a storage tier where the techniques herein have determined the storage tier is best to service that data in order to improve data storage system performance. The data portions may also be automatically relocated or migrated to a different storage tier as the work load and observed performance characteristics for the data portions change over time. In accordance with techniques herein, analysis of performance data for data portions of thin devices may be performed in order to determine whether particular data portions should have their data contents stored on physical devices located in a particular storage tier. The techniques herein may take into account how “busy” the data portions are in combination with defined capacity limits and defined performance limits (e.g., such as I/O throughput or I/Os per unit of time, response time, utilization, and the like) associated with a storage tier in order to evaluate which data to store on drives of the storage tier. The foregoing defined capacity limits and performance limits may be used as criteria to determine promotion and demotion thresholds based on projected or modeled I/O workload of a storage tier. Different sets of performance limits, also referred to as comfort performance zones or performance zones, may be evaluated in combination with capacity limits based on one or more overall performance metrics (e.g., average response time across all storage tiers for one or more storage groups) in order to select the promotion and demotion thresholds for the storage tiers.

Promotion may refer to movement of data from a first storage tier to a second storage tier where the second storage tier is characterized as having devices of higher performance than devices of the first storage tier. Demotion may refer generally to movement of data from a first storage tier to a second storage tier where the first storage tier is characterized as having devices of higher performance than devices of the second storage tier. As such, movement of data from a first tier of flash devices to a second tier of FC devices and/or SATA devices may be characterized as a demotion and movement of data from the foregoing second tier to the first tier a promotion. The promotion and demotion thresholds refer to thresholds used in connection with data movement.

As described in following paragraphs, one embodiment may use an allocation policy specifying an upper limit or maximum threshold of storage capacity for each of one or more tiers for use with an application. The partitioning of physical storage of the different storage tiers among the applications may be initially performed using techniques herein in accordance with the foregoing thresholds of the application's allocation policy and other criteria. In accordance with techniques herein, an embodiment may determine amounts of the different storage tiers used to store an application's data, and thus the application's storage group, subject to the allocation policy and other criteria. Such criteria may also include one or more performance metrics indicating a workload of the application. For example, an embodiment may determine one or more performance metrics using collected or observed performance data for a plurality of different logical devices, and/or portions thereof, used by the application. Thus, the partitioning of the different storage tiers among multiple applications may also take into account the workload or how “busy” an application is. Such criteria may also include capacity limits specifying how much of each particular storage tier may be used to store data for the application's logical devices. As described in various embodiments herein, the criteria may include one or more performance metrics in combination with capacity limits, performance metrics alone without capacity limits, or capacity limits alone without performance metrics. Of course, as will be appreciated by those of ordinary skill in the art, such criteria may include any of the foregoing in combination with other suitable criteria.

As an example, the techniques herein may be described with reference to a storage environment having three storage tiers—a first tier of only flash drives in the data storage system, a second tier of only FC disk drives, and a third tier of only SATA disk drives. In terms of performance, the foregoing three tiers may be ranked from highest to lowest as follows: first, second, and then third. The lower the tier ranking, the lower the tier's performance characteristics (e.g., longer latency times, capable of less I/O throughput/second/GB (or other storage unit), and the like). Generally, different types of physical devices or physical drives have different types of characteristics. There are different reasons why one may want to use one storage tier and type of drive over another depending on criteria, goals and the current performance characteristics exhibited in connection with performing I/O operations. For example, flash drives of the first tier may be a best choice or candidate for storing data which may be characterized as I/O intensive or “busy” thereby experiencing a high rate of I/Os to frequently access the physical storage device containing the LUN's data. However, flash drives tend to be expensive in terms of storage capacity. SATA drives may be a best choice or candidate for storing data of devices requiring a large storage capacity and which are not I/O intensive with respect to access and retrieval from the physical storage device. The second tier of FC disk drives may be characterized as “in between” flash drives and SATA drives in terms of cost/GB and I/O performance. Thus, in terms of relative performance characteristics, flash drives may be characterized as having higher performance than both FC and SATA disks, and FC disks may be characterized as having a higher performance than SATA.

Since flash drives of the first tier are the best suited for high throughput/sec/GB, processing may be performed to determine which of the devices, and portions thereof, are characterized as most I/O intensive and therefore may be good candidates to have their data stored on flash drives. Similarly, the second most I/O intensive devices, and portions thereof, may be good candidates to store on FC disk drives of the second tier and the least I/O intensive devices may be good candidates to store on SATA drives of the third tier. As such, workload for an application may be determined using some measure of I/O intensity, performance or activity (e.g., I/O throughput/second, percentage of read operation, percentage of write operations, response time, etc.) of each device used for the application's data. Some measure of workload may be used as a factor or criterion in combination with others described herein for determining what data portions are located on the physical storage devices of each of the different storage tiers.

FIG. 4 is a schematic illustration showing a storage system 150 that may be used in connection with an embodiment of the system described herein. The storage system 150 may include a storage array 124 having multiple directors 130-132 and multiple storage volumes (LUN s, logical devices or VOLUMES 0-3) 110-113. Host applications 140-144 and/or other entities (e.g., other storage devices, SAN switches, etc.) request data writes and data reads to and from the storage array 124 that are facilitated using one or more of the directors 130-132. The storage array 124 may include similar features as that discussed above.

The volumes 110-113 may be provided in multiple storage tiers (TIERS 0-3) that may have different storage characteristics, such as speed, cost, reliability, availability, security and/or other characteristics. As described above, a tier may represent a set of storage resources, such as physical storage devices, residing in a storage platform. Examples of storage disks that may be used as storage resources within a storage array of a tier may include sets SATA disks, FC disks and/or EFDs, among other known types of storage devices.

According to various embodiments, each of the volumes 110-113 may be located in different storage tiers. Tiered storage provides that data may be initially allocated to a particular fast volume/tier, but a portion of the data that has not been used over a period of time (for example, three weeks) may be automatically moved to a slower (and perhaps less expensive) tier. For example, data that is expected to be used frequently, for example database indices, may be initially written directly to fast storage whereas data that is not expected to be accessed frequently, for example backup or archived data, may be initially written to slower storage. In an embodiment, the system described herein may be used in connection with a Fully Automated Storage Tiering (FAST) product produced by EMC Corporation of Hopkinton, Mass., that provides for the optimization of the use of different storage tiers including the ability to easily create and apply tiering policies (e.g., allocation policies, data movement policies including promotion and demotion thresholds, and the like) to transparently automate the control, placement, and movement of data within a storage system based on business needs. The techniques herein may be used to determine amounts or allocations of each storage tier used by each application based on capacity limits in combination with performance limits.

Referring to FIG. 5A, shown is a schematic diagram of the storage array 124 as including a plurality of data devices 61-67 communicating with directors 131-133. The data devices 61-67 may be implemented as logical devices like standard logical devices (also referred to as thick devices) provided in a Symmetrix® data storage device produced by EMC Corporation of Hopkinton, Mass., for example. In some embodiments, the data devices 61-67 may not be directly useable (visible) to hosts coupled to the storage array 124. Each of the data devices 61-67 may correspond to a portion (including a whole portion) of one or more of the disk drives 42-44 (or more generally physical devices). Thus, for example, the data device section 61 may correspond to the disk drive 42, may correspond to a portion of the disk drive 42, or may correspond to a portion of the disk drive 42 and a portion of the disk drive 43. The data devices 61-67 may be designated as corresponding to different classes, so that different ones of the data devices 61-67 correspond to different physical storage having different relative access speeds or RAID protection type (or some other relevant distinguishing characteristic or combination of characteristics), as further discussed elsewhere herein. Alternatively, in other embodiments that may be used in connection with the system described herein, instead of being separate devices, the data devices 61-67 may be sections of one data device.

As shown in FIG. 5B, the storage array 124 may also include a plurality of thin devices 71-74 that may be adapted for use in connection with the system described herein when using thin provisioning. In a system using thin provisioning, the thin devices 71-74 may appear to a host coupled to the storage array 124 as one or more logical volumes (logical devices) containing contiguous blocks of data storage. Each of the thin devices 71-74 may contain pointers to some or all of the data devices 61-67 (or portions thereof). As described in more detail elsewhere herein, a thin device may be virtually provisioned in terms of its allocated physical storage in physical storage for a thin device presented to a host as having a particular capacity is allocated as needed rather than allocate physical storage for the entire thin device capacity upon creation of the thin device. As such, a thin device presented to the host as having a capacity with a corresponding LBA (logical block address) range may have portions of the LBA range for which storage is not allocated.

Referring to FIG. 5C, shown is a diagram 150 illustrating tables that are used to keep track of device information. A first table 152 corresponds to all of the devices used by a data storage system or by an element of a data storage system, such as an HA 21 and/or a DA 23. The table 152 includes a plurality of logical device (logical volume) entries 156-158 that correspond to all the logical devices used by the data storage system (or portion of the data storage system). The entries in the table 152 may include information for thin devices, for data devices (such as logical devices or volumes), for standard logical devices, for virtual devices, for BCV devices, and/or any or all other types of logical devices used in connection with the system described herein.

Each of the entries 156-158 of the table 152 correspond to another table that may contain information for one or more logical volumes, such as thin device logical volumes. For example, the entry 157 may correspond to a thin device table 162. The thin device table 162 may include a header 164 that contains overhead information, such as information identifying the corresponding thin device, information concerning the last used data device and/or other information including counter information, such as a counter that keeps track of used group entries (described below). The header information, or portions thereof, may be available globally to the data storage system.

The thin device table 162 may include one or more group elements 166-168, that contain information corresponding to a group of tracks on the data device. A group of tracks may include one or more tracks, the number of which may be configured as appropriate. In an embodiment herein, each group has sixteen tracks, although this number may be configurable.

One of the group elements 166-168 (for example, the group element 166) of the thin device table 162 may identify a particular one of the data devices 61-67 having a track table 172 that contains further information, such as a header 174 having overhead information and a plurality of entries 176-178 corresponding to each of the tracks of the particular one of the data devices 61-67. The information in each of the entries 176-178 may include a pointer (either direct or indirect) to the physical address on one of the physical disk drives of the data storage system that maps to the logical address(es) of the particular one of the data devices 61-67. Thus, the track table 162 may be used in connection with mapping logical addresses of the logical devices corresponding to the tables 152, 162, 172 to physical addresses on the disk drives or other physical devices of the data storage system.

The tables 152, 162, 172 may be stored in the global memory 25 b of the data storage system. In addition, the tables corresponding to particular logical devices accessed by a particular host may be stored (cached) in local memory of the corresponding one of the HA's. In addition, an RA and/or the DA's may also use and locally store (cache) portions of the tables 152, 162, 172.

Referring to FIG. 5D, shown is a schematic diagram illustrating a group element 166 of the thin device table 162 in connection with an embodiment of the system described herein. The group element 166 may includes a plurality of entries 166 a-166 f. The entry 166 a may provide group information, such as a group type that indicates whether there has been physical address space allocated for the group. The entry 166 b may include information identifying one (or more) of the data devices 61-67 that correspond to the group (i.e., the one of the data devices 61-67 that contains pointers for physical data for the group). The entry 166 c may include other identifying information for the one of the data devices 61-67, including a speed indicator that identifies, for example, if the data device is associated with a relatively fast access physical storage (disk drive) or a relatively slow access physical storage (disk drive). Other types of designations of data devices are possible (e.g., relatively expensive or inexpensive). The entry 166 d may be a pointer to a head of the first allocated track for the one of the data devices 61-67 indicated by the data device ID entry 166 b. Alternatively, the entry 166 d may point to header information of the data device track table 172 immediately prior to the first allocated track. The entry 166 e may identify a cylinder of a first allocated track for the one the data devices 61-67 indicated by the data device ID entry 166 b. The entry 166 f may contain other information corresponding to the group element 166 and/or the corresponding thin device. In other embodiments, entries of the group table 166 may identify a range of cylinders of the thin device and a corresponding mapping to map cylinder/track identifiers for the thin device to tracks/cylinders of a corresponding data device. In an embodiment, the size of table element 166 may be eight bytes.

Accordingly, a thin device presents a logical storage space to one or more applications running on a host where different portions of the logical storage space may or may not have corresponding physical storage space associated therewith. However, the thin device is not mapped directly to physical storage space. Instead, portions of the thin storage device for which physical storage space exists are mapped to data devices, which are logical devices that map logical storage space of the data device to physical storage space on the disk drives or other physical storage devices. Thus, an access of the logical storage space of the thin device results in either a null pointer (or equivalent) indicating that no corresponding physical storage space has yet been allocated, or results in a reference to a data device which in turn references the underlying physical storage space.

Thin devices and thin provisioning are described in more detail in U.S. patent application Ser. No. 11/726,831, filed Mar. 23, 2007 (U.S. Patent App. Pub. No. 2009/0070541 A1), AUTOMATED INFORMATION LIFE-CYCLE MANAGEMENT WITH THIN PROVISIONING, Yochai, EMS-147US, and U.S. Pat. No. 7,949,637, Issued May 24, 2011, Storage Management for Fine Grained Tiered Storage with Thin Provisioning, to Burke, both of which are incorporated by reference herein.

As discussed elsewhere herein, the data devices 61-67 (and other logical devices) may be associated with physical storage areas (e.g., disk drives, tapes, solid state storage, etc.) having different characteristics. In various embodiments, the physical storage areas may include multiple tiers of storage in which each sub-tier of physical storage areas and/or disk drives may be ordered according to different characteristics and/or classes, such as speed, technology and/or cost. The devices 61-67 may appear to a host coupled to the storage device 24 as a logical volume (logical device) containing a contiguous block of data storage, as discussed herein. Accordingly, each of the devices 61-67 may map to storage areas across multiple physical storage drives. The granularity at which the storage system described herein operates may be smaller than at the file level, for example potentially as small as a single byte, but more practically at the granularity of a single logical block or collection of sequential data blocks. A data block may be of any size including file system or database logical block size, physical block, track or cylinder and/or other size. Multiple data blocks may be substantially the same size or different sizes, such as different size data blocks for different storage volumes or different sized data blocks within a single storage volume.

In accordance with techniques herein, an embodiment may allow for locating all of the data of a single logical portion or entity in a same tier or in multiple different tiers depending on the logical data portion or entity. In an embodiment including thin devices, the techniques herein may be used where different portions of data of a single thin device may be located in different storage tiers. For example, a thin device may include two data portions and a first of these two data portions may be identified as a “hot spot” of high I/O activity (e.g., having a large number of I/O accesses such as reads and/or writes per unit of time) relative to the second of these two portions. As such, an embodiment in accordance with techniques herein may have added flexibility in that the first portion of data of the thin device may be located in a different higher performance storage tier than the second portion. For example, the first portion may be located in a tier comprising flash devices and the second portion may be located in a different tier of FC or SATA drives.

Referring to FIG. 6, shown is an example illustrating information that may be defined and used in connection with techniques herein. The example 200 includes multiple storage tiers 206, 208, and 210, an allocation policy (AP) 204, and storage group (SG) 202. The SG 202 may include one or more thin devices (TDs), such as TD A 220 and TD B 222, used by an application 230. The application 230 may execute, for example, on one of the hosts of FIG. 1. The techniques herein may be used to determine how to partition physical storage of the multiple storage tiers 206, 208 and 210 for use in storing or locating the application's data, such as data of the TDs 220 and 222. It should be noted that the particular number of tiers, TDs, and the like, should not be construed as a limitation. An SG may represent a logical grouping of TDs used by a single application although an SG may correspond to other logical groupings for different purposes. An SG may, for example, correspond to TDs used by multiple applications.

Each of 206, 208 and 210 may correspond to a tier definition as described elsewhere herein. Element 206 represents a first storage tier of flash drives having a tier capacity limit C1. Element 208 represents a first storage tier of FC drives having a tier capacity limit C2. Element 210 represents a first storage tier of SATA drives having a tier capacity limit C3. Each of C1, C2 and C3 may represent an available or maximum amount of storage capacity in the storage tier that may be physical available in the system. The AP 204 may be associated with one of more SGs such as SG 202. The AP 204 specifies, for an associated SG 202, a capacity upper limit or maximum threshold for one or more storage tiers. Each such limit may identify an upper bound regarding an amount of storage that may be allocated for use by the associated SG. The AP 204 may be associated with one or more of the storage tiers 206, 208 and 210 that may be defined in a multi-tier storage environment. The AP 204 in this example 200 includes limit 204 a identifying a maximum or upper limit of storage for tier1, limit 204 b identifying a maximum or upper limit of storage for tier2, and limit 204 c identifying a maximum or upper limit of storage for tier3. The SG 202 may be based on an SG definition identifying 202 a the logical devices, such as TDs included in the SG.

In connection with techniques herein, the maximum limits 204 a, 204 b and 204 c each represent an upper bound of a storage capacity to which an associated SG is subjected to. The techniques herein may be used to partition less than the amount or capacity represented by such limits. An amount of physical storage of a tier allocated for use by an application is allowed to vary up to the tier limit as defined in the AP 204 in accordance with other criteria associated with the application such as, for example, varying application workload. The optimizer may vary the amount of storage in each tier used by an SG 202, and thus an application, based on workload and possibly other criteria when performing a cost benefit analysis, where such amounts are subject to the limits of the SG's AP and also performance limits described in more detail elsewhere herein. At a second point in time, the workloads and possibly other criteria for the applications may change and the optimizer may reparation the storage capacity used by each application subject to the capacity limits of APs and performance limits.

Referring to FIG. 7, shown is an example which more generally illustrates different associations between SGs, APs and tiers in an embodiment in accordance with techniques herein. The example 350 illustrates that an embodiment may have multiple storage tiers (e.g., tiers 1-N), multiple APs (e.g., AP1-N), and multiple SGs (e.g., SG 1-M). Each AP may be associated with one or more of the storage tiers. Each AP may also be associated with different tiers than other APs. For example, APn is associated with Tier N but AP1 is not. For each tier associated with an AP, the AP may define a maximum capacity limit as described in connection with FIG. 6. Each AP may be associated with one or more SGs. For example SGs1-N may be associated with a same AP1, and SGs N+1 through M may be associated with a same APn.

With reference back to FIG. 6, each of the maximum capacity limits may have any one of a variety of different forms. For example, such limits may be expressed as a percentage or portion of tier total storage capacity (e.g., such as a percentage of C1, C2, or C3), as an integer indicating an amount or quantity of storage 410 c (e.g., indicating a number of bytes or other number of storage units), and the like.

Data used in connection with techniques herein, such as the performance data of FIG. 3 used in determining device and SG workloads, may be obtained through observation and monitoring actual performance. Data may also be determined in other suitable ways such as, for example, through simulation, estimation, and the like. Observed or collected data may be obtained as described in connection with FIG. 3 by monitoring and recording one or more aspects of I/O activity for each TD, and portions thereof. For example, for each TD, and/or portions thereof, an average number of reads occurring within a given time period may be determined, an average number of writes occurring within a given time period may be determined, an average number of read misses occurring within a given time period may be determined, and the like. It should be noted that the operations of read and write with respect to a TD may be viewed as read and write requests or commands from the DA, controller or other backend physical device interface. Thus, these are operations may also be characterized as an average number of operations with respect to the physical storage device (e.g., average number of physical device reads, writes, and the like, based on physical device accesses). This is in contrast to observing or counting a number of particular types of I/O requests (e.g., reads or writes) as issued from the host and received by a front end component such as an FA. To illustrate, a host read request may not result in a read request or command issued to the DA if there is a cache hit and the requested data is in cache. The host read request results in a read request or command issued to the DA to retrieve data from the physical drive only if there is a read miss. Furthermore, when writing data of a received host I/O request to the physical device, the host write request may result in multiple reads and/or writes by the DA in addition to writing out the host or user data of the request. For example, if the data storage system implements a RAID data protection technique, such as RAID-5, additional reads and writes may be performed such as in connection with writing out additional parity information for the user data. Thus, observed data gathered to determine workload, such as observed numbers of reads and writes, may refer to the read and write requests or commands performed by the DA. Such read and write commands may correspond, respectively, to physical device accesses such as disk reads and writes that may result from a host I/O request received by an FA.

It should be noted that movement of data between tiers from a source tier to a target tier may include determining free or unused storage device locations within the target tier. In the event there is an insufficient amount of free of unused storage in the target tier, processing may also include displacing or relocating other data currently stored on a physical device of the target tier. An embodiment may perform movement of data to and/or from physical storage devices using any suitable technique. Also, any suitable technique may be used to determine a target storage device in the target tier where the data currently stored on the target is relocated or migrated to another physical device in the same or a different tier.

One embodiment in accordance with techniques herein may include multiple storage tiers including a first tier of flash devices and one or more other tiers of non-flash devices having lower performance characteristics than flash devices. The one or more other tiers may include, for example, one or more types of disk devices. The tiers may also include other types of SSDs besides flash devices.

As described above, a thin device (also referred to as a virtual provision device) is a device that represents a certain capacity having an associated address range. Storage may be allocated for thin devices in chunks or data portions of a particular size as needed rather than allocate all storage necessary for the thin device's entire capacity. Therefore, it may be the case that at any point in time, only a small number of portions or chunks of the thin device actually are allocated and consume physical storage on the back end (on physical disks, flash or other physical storage devices). A thin device may be constructed of chunks having a size that may vary with embodiment. For example, in one embodiment, a chunk may correspond to a group of 12 tracks (e.g., 12 tracks*64 Kbytes/track=768 Kbytes/chunk). As also noted with a thin device, the different chunks may reside on different data devices in one or more storage tiers. In one embodiment, as will be described below, a storage tier may consist of one or more storage pools. Each storage pool may include multiple LUNs and their associated physical devices. With thin devices, a system in accordance with techniques herein has flexibility to relocate individual chunks as desired to different devices in the same as well as different pools or storage tiers. For example, a system may relocate a chunk from a flash storage pool to a SATA storage pool. In one embodiment using techniques herein, a thin device can be bound to a particular storage pool of a storage tier at a point in time so that any chunks requiring allocation of additional storage, such as may occur when writing data to the thin device, result in allocating storage from this storage pool. Such binding may change over time for a thin device.

A thin device may contain thousands and even hundreds of thousands of such chunks. As such, tracking and managing performance data such as one or more performance statistics for each chunk, across all such chunks, for a storage group of thin devices can be cumbersome and consume an excessive amount of resources. Described in following paragraphs are techniques that may be used in connection with collecting performance data about thin devices where such information may be used to determine which chunks of thin devices are most active relative to others. Such evaluation may be performed in connection with determining promotion/demotion thresholds use in evaluating where to locate and/or move data of the different chunks with respect to the different storage tiers in a multi-storage tier environment. In connection with examples in following paragraphs, details such as having a single storage pool in each storage tier, a single storage group, and the like, are provided for purposes of illustration. Those of ordinary skill in the art will readily appreciate the more general applicability of techniques herein in other embodiments such as, for example, having a storage group including a plurality of storage pools, and the like.

Referring to FIG. 8A, shown is an example 700 illustrating use of a thin device in an embodiment in accordance with techniques herein. The example 700 includes three storage pools 712, 714 and 716 with each such pool representing a storage pool of a different storage tier. For example, pool 712 may represent a storage pool of tier A of flash storage devices, pool 714 may represent a storage pool of tier B of FC storage devices, and pool 716 may represent a storage pool of tier C of SATA storage devices. Each storage pool may include a plurality of logical devices and associated physical devices (or portions thereof) to which the logical devices are mapped. Element 702 represents the thin device address space or range including chunks which are mapped to different storage pools. For example, element 702 a denotes a chunk C1 which is mapped to storage pool 712 and element 702 b denotes a chunk C2 which is mapped to storage pool 714. Element 702 may be a representation for a first thin device which is included in a storage group of one or more thin devices.

It should be noted that although the example 700 illustrates only a single storage pool per storage tier, an embodiment may also have multiple storage pools per tier.

Referring to FIG. 8B, shown is an example representation of information that may be included in an allocation map in an embodiment in accordance with techniques herein. An allocation map may be used to identify the mapping for each thin device (TD) chunk (e.g. where each chunk is physically located). Element 760 represents an allocation map that may be maintained for each TD. In this example, element 760 represents information as may be maintained for a single TD although another allocation map may be similarly used and maintained for each other TD in a storage group. Element 760 may represent mapping information as illustrated in FIG. 8A such as in connection the mapping of 702 to different storage pool devices. The allocation map 760 may contain an entry for each chunk and identify which Data device (or logical device) and associated physical storage is mapped to the chunk. For each entry or row of the map 760 corresponding to a chunk, a first column 760 a, Chunk ID, denotes an identifier to uniquely identify the chunk of the TD, a second column 760 b, indicates information about the Data device and offset to which the chunk is mapped, and a third column storage pool 760 c denotes the storage pool and tier including the Data device of 760 b. For example, entry 762 represents chunk C1 illustrated in FIG. 8A as 702 a and entry 764 represents chunk C2 illustrated in FIG. 8A as 702 b. It should be noted that although not illustrated, the allocation map may include or otherwise use other tables and structures which identify a further mapping for each Data device such as which physical device locations map to which data devices. This further mapping for each data device is described and illustrated elsewhere herein such as, for example, with reference back to FIG. 5B. Such information as illustrated and described in connection with FIG. 8B may be maintained for each thin device in an embodiment in accordance with techniques herein.

In connection with collecting statistics characterizing performance, workload and/or activity for a thin device, one approach may be to collect the information per chunk or, more generally, for the smallest level of granularity associated with allocation and de-allocation of storage for a thin device. Such statistics may include, for example, a number of reads/unit of time, #writes/unit of time, a number of pre-fetches/unit of time, and the like. However, collecting such information at the smallest granularity level does not scale upward as number of chunks grows large such as for a single thin device which can have up to, for example 300,000 chunks.

Therefore, an embodiment in accordance with techniques herein may collect statistics on a grouping of “N” chunks also referred to as an extent, where N represents an integer number of chunks, N>0. N may be, for example, 480 in one embodiment. Each extent may represent a consecutive range or portion of the thin device in terms of thin device locations (e.g., portion of the address space or range of the thin device). Note that the foregoing use of consecutive does not refer to physical storage locations on physical drives but rather refers to consecutive addresses with respect to a range of addresses of the thin device which are then mapped to physical device locations which may or may not be consecutive, may be on the same or different physical drives, and the like. For example, in one embodiment, an extent may be 480 chunks (N=480) having a size of 360 MBs (megabytes).

An extent may be further divided into sub extents, where each sub extent is a collection of M chunks. M may be, for example 10 in one embodiment. In one embodiment, the sub-extent size may correspond to the smallest granularity of data movement. In other words, the sub extent size represents the atomic unit or minimum amount of data that can be operated upon when performing a data movement such as between storage tiers.

Referring to FIG. 9, shown is an example illustrating partitioning of a thin device's address space or range in an embodiment in accordance with techniques herein. The example 250 includes a thin device address space or range 252 which, as described elsewhere herein, includes chunks mapped to physical storage locations. The thin device address space or range 252 may be partitioned into one or more extents 254 a-254 n. Each of the extents 254 a-254 n may be further partitioned into sub-extents. Element 260 illustrates that extent X 254 n may include sub extents 256 a-256 n. Although only detail is illustrated for extent 254 n, each of the other extents of the thin device also includes a same number of sub extents as illustrated for 254 n. Each of the sub extents 256 a-256 n may represent a grouping of “M” chunks. Element 262 illustrates that sub extent 1 256 a may include chunks 258 a-258 n. Although only detail is illustrated for sub extent 256 a, each of the other sub extents 256 b-256 n also includes a same number of “M” chunks as illustrated for 256 a. Thus, each of the extents 254 a-254 n may represent an grouping of “N” chunks, where N=#sub extents/extent*M chunks/sub extent  EQUATION 1

An embodiment in accordance with techniques herein may collect statistics for each extent and also other information characterizing activity of each sub extent of a thin device. Statistics for each extent may be characterized as either long term or short term. Short term refers to statistics which may reflect performance, workload, and/or I/O activity of an extent with respect to a relatively short window of time. Thus, short term statistics may reflect recent extent activity for such a short time period. In contrast and relative to short term, long term refers to statistics reflecting performance, workload and/or I/O activity of an extent with respect to a longer period of time. Depending on the evaluation being performed, such as by the optimizer, it may be desirable to place greater weight on short term information than long term, or vice versa. Furthermore, the information maintained per sub extent may be used as needed once particular extents of interest have been identified.

Referring to FIG. 10, shown is an example of information that may be collected and used in connection each extent in an embodiment in accordance with techniques herein. The example 300 illustrates that short term information 302, long term information 304 and a sub extent activity bitmap 306 may be collected for each extent. The short term information 302 and long term information 304 may be used in connection with determining short term rates 320 and long term rates 330 for each extent. The statistics included in 302, 304, 320 and 330 may reflect activity with respect to the entire extent. The activity bitmap 306 is illustrated in further detail by element 307 as including an entry for each sub extent in the associated extent. Entries of 307 are denoted by A, B, C, and the like. Each of the entries of 307 represents aggregated or collective activity information for a corresponding sub extent denoted by the numeric identifiers 307 a of 1, 2, 3, etc. Each entry of 307 may include one or more bits used to encode an activity level with respect to all chunks of a corresponding sub-extent. For example, the entry of 307 denoted as A represents an activity level for all chunks in sub extent 1. An embodiment may use any number of bits for each entry of the activity bitmap 306, 307. For example, in one embodiment, each entry of the activity bitmap may be 2 bits capable of representing any of 4 integer values −0, 1, 2, and 3.

As will be described in following paragraphs, the short term rates 320, long term rates 330 and sub extent activity bitmap 306 may be used in connection with a variety of different evaluations such as by the optimizer 138. Generally, the activity level information or data for an extent such as illustrated in FIG. 10 may be referred to as extent activity level information including one or more metrics indicating an activity level for the extent. The extent activity level information may comprise short term activity information (e.g., such as 302 and/or 320) and long term activity information (e.g., such as 304 and 330).

In one embodiment, the short term rates 320 for an extent may include a read miss rate (e.g., random read miss (RRM) rate) 322, a write I/O rate 324 and a pre-fetch rate 326 for the extent. The long term rates 330 for an extent may include a read miss rate 332 (e.g., number of read misses/unit of time, where a read miss refers to a cache miss for a read), a write I/O rate 334 (e.g., number of writes/unit of time) and a pre-fetch rate 336 (e.g., number of pre-fetches/unit of time) for the extent. As known in the art, data may be pre-fetched from a physical device and placed in cache prior to reference or use with an I/O operation. For example, an embodiment may perform sequential stream I/O recognition processing to determine when consecutive portions of a thin device are being referenced. In this case, data of the sequential stream may be pre-fetched from the physical device and placed in cache prior to usage in connection with a subsequent I/O operation. In connection with a portion of data at a first point in a sequential stream associated with a current I/O operation, data subsequent to the first point may be pre-fetched such as when obtaining the portion from a physical device in anticipation of future usage with subsequent I/Os. The short term pre-fetch rate 326, as well as the long term pre-fetch rate 336, may also be referred to as denoting a number of sequential reads or sequential read miss operations performed since such pre-fetching may occur in response to determination that a read operation is performed for data which is not in cache (read miss) and the read operation is for data included in a series of sequentially read data portions as described above. The read miss rates 322 and 332 may represent random read miss (RRM) rates where such read misses (e.g., data requested not currently in cache) are associate with read operations not included in connection with reading data of a sequential stream (e.g., all read misses not used in connection with computing 326 and 336).

Each of the foregoing rates of 320 and 330 may be with respect to any unit of time, such as per second, per hour, and the like. In connection with describing elements 302 and 304 in more detail, what will be described is how an embodiment in accordance with techniques herein may determine the short term rates 320 and long term rates 330 using a decay function and decay coefficients.

In an embodiment in accordance with techniques herein, a decay coefficient may be characterized as a weighting factor given to previous activity information. The higher the coefficient, the greater the weight given to previous activity information for the extent. Thus, the adjusted activity level of an extent at a current time, “An”, may be generally represented as a function of a current observed or actual activity level for the current time, “a_(n)”, a decay coefficient, “r”, and previous adjusted activity level for the previous time period or sampling period, “A_(n-1)”. In connection with the foregoing, “A” may represent an adjusted activity level, “n” may denote the current time period or sampling period and “n−1” may denote the immediately prior or previous time period or sampling period at which the activity for the extent was determined. In other words, “a_(n)” is adjusted to take into account previous activity as represented by “A_(n-1)” and “An” represents the resulting adjusted value of “a_(n)”. With respect to a statistic or metric such as a number or read misses, “a_(n)” and “An” may each represent an integer quantity or number of read misses within a current sampling period, “n”. The foregoing may generally be represented as: An=a _(n)+(r*A _(n-1))  EQUATION 2 wherein

-   -   a_(n) is the actual observed activity metric for the current or         “nth” sampling period,     -   “r” is a decay coefficient,     -   “A_(n)” is the adjusted activity metric for the current or “nth”         sampling period, and     -   “A_(n-1)” is the adjusted activity metric from the previous or         “n−1” sampling period.

Beginning with an initial time period or sampling period, denoted by i=“0” (zero), the adjusted activity A0 may be initially that which is observed, a0. Subsequent observed or actual activity levels may be adjusted as described above. Generally, “a_(i)” may denote an actual or observed value obtained for an activity metric for a sampling period “i”, where “i” is an integer greater than or equal to 0. “Ai” may similarly denote an adjusted activity metric (or adjusted value for “a_(i)”) for a sampling period “i”, where “i” is an integer greater than or equal to 0. Thus, for consecutive sample periods at which actual or observed activity metrics are obtained (as denoted by lower case “a_(i)”s), corresponding adjusted activity levels (e.g., “A” values) may be determined as follows:

A0 = a0 /* Adjusted activity level A0, at time = 0 or initially */ A0 = a1 + (r * A0) /* Adjusted activity level A1, at first sampling period, i = 1 */ A2 = a2 + (r * A1) /* Adjusted activity level A2, at second sampling period, i = 2 */ : and so on for subsequent sampling periods 3, 4, and the like, based on EQUATION 2.

In connection with EQUATION 2, 0<=r<1, where “r” is a decay coefficient or weight given to previous activity. Varying “r” in EQUATION 2 results in accordingly varying the weight given to past or previous activity. If r=0, then no weight is given to previous or historic values. Thus, the closer “r” is to 0, the lesser weight given to previous activity. Similarly, the closer “r” is to 1, the greater the weight given to previous activity. In connection with determining an adjusted activity level, An, using EQUATION 2 for short term and long term, different decay coefficients may be selected. Generally “r” for short term is less than “r” used in connection with long term activity. For example, in one embodiment, “r” used in connection short term activity levels may be 50% or 0.50 or smaller. “r” used in connection with long term activity levels may be 80% or 0.80 or larger. The foregoing are exemplary values that may be selected for “r” in connection with short term and long term activity levels depending on the weight to be given to previous activity. In connection with short term activity, a decay coefficient may be selected in accordance with providing a relatively short term rate of decay for an activity level metric determined at a point in time. For example, a short term rate of decay may provide for a rate of decay for an activity level metric on the order of one or more hours (e.g., less than a day). In connection with long term activity, a decay coefficient may be selected in accordance with providing a relatively long term rate of decay for an activity level metric determined at a point in time. For example, a long term rate of decay may provide for a rate of decay for an activity level metric on the order of one or more days, a week, and the like. Thus, an activity metric at a first point in time may have a weighted or residual effect on an adjusted activity level determined at a later point in time in accordance with the selected decay coefficient indicating the rate of decay of the activity metric.

As mentioned above, EQUATION 2 results in a metric or count, such as a number of read misses, number of writes, or number or pre-fetches during a sample period. It may be desirable to also determine a rate with respect to a unit of time, such as per second, per hour, and the like, for each of the foregoing adjusted activity metrics An. A rate with respect to a unit of time for the adjusted activity level An may be represented as: Ar=An*(1−r)/(1−r ^(n-1))  EQUATION 3 where Ar=the adjusted activity rate per unit of time,

-   -   r=decay coefficient or weight as described above,     -   n=denotes an “nth” sampling period as described above,     -   An=adjusted activity level determined for a given sampling         period “n” (e.g. using EQUATION 2 as described above).

Generally, the higher the decay coefficient, r, the slower the change in Ar as may be the desired case with long term Ar values. Thus an embodiment may select decay coefficients for use with long term and short term Ar values so that, when plotted with respect to time, long term Ar values generally have a smaller slope than that associated with short term Ar values.

Referring to FIG. 11, shown is an example graphically illustrating the general shape of curves for long term (LT) and short term (ST) values in an embodiment in accordance with techniques herein. The activity level values (Y-axis values) are plotted with respect to time (X-axis). The activity level values may be determined using EQUATIONS 2 and/or 3. Curve 402 may be produced using one of EQUATIONS 2 and 3 where a first value for the decay coefficient “r” is selected for ST usage. Curve 404 may be produced using one of EQUATIONS 2 and 3 where a second value for the decay coefficient “r” is selected for LT usage. The values selected for “r” in connection with 402 and 404 may be relative so that the first value for “r” used with 402 is less than the second value for “r” used with 404.

In one embodiment, each of the different An values determined using EQUATION 2 may be converted to a corresponding Ar value using EQUATION 3 when desired.

In connection with the foregoing, for example, with respect to a number of read misses, “a_(n)” represents the number of such operations that have occurred in a current sample period, n. For example, if a sample period=10 minutes so that statistics for an extent are collected and/or computed every 10 minutes, “a_(n)” represents the number of read misses that occurred in the last 10 minute sample period or time interval. A_(n-1) represents the previous or last A calculation (e.g., as determined using EQUATION 2) from the previous sample period, denoted “n−1”.

With reference back to FIG. 10, an embodiment may collect short term information 302 as counter values indicating a count or number of each type of operation for a current time period or sampling period “n”. The following may represent different “a_(n)” values as included in the short term information 302 for an extent: read miss count (number of read misses for the extent during the sampling period), pre-fetch count (number of pre-fetches for the extent during the sampling period) and write count (number of writes for the extent during the sampling period).

The short term information 302 may also include storing previous A values as determined for the sampling period “n−1” using EQUATION 2 above. For example, short term information 302 may also include storing three (3) previous adjusted activity level values or A values for sampling period “n−1” using EQUATION 2 above for the read miss count, pre-fetch count and write count.

The short term information 302 may also include a timestamp value indicating the timestamp associated with the previous sampling period “n−1”.

Using the above-mentioned short term information 302, an embodiment may calculate updated short term rates 320 using EQUATION 3 for a sampling period “n” for a selected “r” as a short term decay coefficient. With each new sampling period, the short term information may be accordingly updated so that which is associated with sampling period “n” subsequently becomes associated with sampling period “n−1”.

The long term information 304 may include long term rates or Ar values as determined using EQUATION 3 for a read miss rate (e.g., number of read misses/second), a pre-fetch rate (e.g., number of pre-fetches/second) and a write rate (e.g., number of writes/second). The long term information 304 may also include a time duration interval used for determining an adjusted Ar value for the current time or sampling period “n”. For example, the time duration interval may represent the amount of time for which statistics are collected and used in connection with long term Ar values. An embodiment may store a set of long term Ar values rather than calculate such Ar values on demand from other stored information as in the case above for short term rates 320 (e.g., where short term information 302 is stored and used to calculate short term rates 320 on demand). Thus, in such an embodiment, the long term rates 330 may be included the long term information 304 where such long term rates 330 may be updated with each sampling period. In one embodiment with the arrival of a new sampling period “n”, the long term information 304 may include Ar values for the foregoing statistics as determined using EQUATION 3 for a sampling period “n−1”. These long term Ar values for “n−1” may each be multiplied by the time duration interval to determine A_(n-1), an adjusted metric for the long term time period. The foregoing A_(n-1) value may then be used with EQUATION 2 to determine An for the current sampling period “n” using a selected “r” as a long term decay coefficient. Using An, EQUATION 3 may then be used to obtain updated long term rates Ar values. With each new sampling period, the long term information may be accordingly updated so that which is associated with sampling period “n” subsequently becomes associated with sampling period “n−1”.

With reference back to FIG. 10, described above is an activity bitmap 306 having an entry per sub extent where each such entry may indicate an aggregate or collective activity level with respect to all chunks of the associated sub-extent. The number of different activity level states that may be represented for each sub extent depends on the number of bits per entry of the activity bitmap. In one embodiment, each entry of the activity bitmap may be 2 bits as described above so that each entry may be an integer in the inclusive range of 0 . . . 3. Processing may be performed to decrement each entry having a non-zero value by 1 every predetermined time period, such as every 12 hours. Each time there is any I/O operation to a sub extent since the sub extent was located or moved to its current physical location, the sub extent's entry in the activity bitmap 306 may be set to 3. Thus, each entry in the bitmap may represent activity level information for up to 3 of the predetermined 12 hour time periods. An embodiment may also have a different number of bits per entry to represent a larger number of predetermined time periods. Based on the foregoing, the lower the value of a bitmap entry for a sub extent, the longer the amount of time that has lapsed since the sub extent has had any I/O activity.

Referring to FIG. 12, shown is a flowchart of processing steps that may be performed in connection with each activity bitmap associated with an extent in an embodiment in accordance with techniques herein. The flowchart 500 summarizes processing described above where each bitmap for each extent may be traversed with the occurrence of a predetermined time interval, such as every 12 hours. At step 502, a determination is made as to whether the next time interval has lapsed. If not, processing waits at step 502 until step 502 evaluates to yes and control proceeds to step 504. At step 504, I is initialized to the next entry in the bitmap. I represents a loop counter when traversing through the bitmap and denotes the bitmap entry currently selected for processing. At step 506, a determination is made as to whether the entire bitmap has been processed. If step 506 evaluates to yes, control proceeds to step 502 until an amount of time again lapses equal to that of the time interval. If step 506 evaluates to no, control proceeds to step 508 where a determination is made as to whether the current bitmap entry (e.g. bitmap [I]) is zero. If so, control proceeds to step 504. Otherwise, control proceeds to step 510 where the current bit map entry is decremented by one (1) and control proceeds to step 504 to process the next entry in the bitmap.

The activity bitmap may be used in connection with determining an activity level associated with each sub extent, the smallest amount of data that can be associated with a data movement operation to relocate data from one physical device to another. It should be noted that an embodiment may have functionality and capability to physically move data in units or amounts less than a sub extent. However, when performing processing to determine data movement candidates, such as by the optimizer, such processing may consider candidates for data movement which have a minimum size of a sub extent. That is, all data of the sub extent may be either moved or relocated as a complete unit, or remains in its current location. In connection with a sub extent when performing a data movement, it may be that not all chunks of the sub extent are actually moved. For example, suppose a sub extent is 10 chunks and the sub extent is to be moved from a first storage tier, such as from SATA or FC, to a second storage tier, such as flash. It may be that 9/10 chunks of the sub extent are unallocated or already in flash storage with only 1 chunk stored in the first storage tier. In this case, processing only needs to actually move the single chunk from the first storage tier to flash since the remaining 9 chunks are either already in the flash tier or unallocated. With a sub extent, the amount of data actually moved may be at most the size of the sub extent but may be less depending on, for example, whether all chunks of the thin device sub extent are allocated (e.g., actually map to physical storage), depending on the current physical device upon which chunks of the sub extent are located prior to movement, and the like. It should be noted that chunks of a sub extent may be located in different storage tiers, for example, depending on where the chunk's data is stored such as at the time when written as well as the result of other conditions that may vary with embodiment.

As an example use of the activity bitmap is in connection with promotion and demotion. As an example use of the activity bitmap, the bitmap may be used to determine selective sub extents which exhibit the highest activity level such as those having counters=3 (e.g., “hot” or active areas of the extent). These sub extents may be candidates for promotion or data movement to a higher performing storage tier and may be given preference for such promotion and data movement over other sub extents having activity bitmap entries which are less than 3. In a similar manner, the activity bitmap may be used to identify the “coldest” or inactive sub extents. For example, sub extents having bit map entries=0 may be candidates for demotion to a lower performing storage tier.

In connection with promotion data movements, an embodiment may want to be responsive to a change in workload with respect to the short term. With demotion, an embodiment may not want to move data as quickly as with promotion and may also want to consider longer term workloads prior to moving such data to a lesser performing storage tier. With promotion, an embodiment may give greater weight to ST workload and activity data. With demotion, an embodiment may additionally consider LT workload and activity rather than just such ST information.

The information as described and illustrated in FIGS. 10-12 above may be used for a variety of different purposes and evaluations. For example, an embodiment may use one or more of the short term rates to identify one or more active extents based on such aggregated extent-level activity data. Subsequently, once an active extent is identified such as a candidate for promotion, the extent's activity bitmap may be examined to determine which sub extents are most active. Processing may be performed to selectively move some of the sub extents of the active extent (e.g., those with counters=3) to a higher performing storage tier.

As another example, the activity bitmaps of extents may be used to determine a promotion ranking used to identify which extent may be promoted prior to one or more other extents. To further illustrate, an embodiment may have two extents, both which are candidates for promotion. The two extents may exhibit similar activity levels based on aggregate extent-level information such as based on short term rates 320 for each extent. The extent having the lesser number of active sub extents may have a higher priority for movement than the other extent. For example, processing may be performed to count the number of non-zero bit map entries for each of the two extents. The extent having the lower count may have a higher priority than the other extent having a higher count. In other words, the extents may be ranked or ordered for promotion based on a number or count of non-zero bit map entries. The extent having the lower count may be characterized as also exhibiting the greatest activity level density based on the foregoing counts of the activity bitmaps.

As another example in connection with demotion, an embodiment may use one or more of the short term rates 320 in combination with one or more of the long term rates 330 to identify one or more inactive extents based on such aggregated extent-level activity data. Subsequently, once an inactive extent is identified, the extent's activity bitmap may be examined to determine which sub extents are inactive and should be demoted rather than automatically demoting all sub extents of the inactive extent. Processing may be performed to selectively move some of the sub extents (e.g., those with counters=0, counters less than some threshold such as 1, and the like) to a lower performing storage tier.

One embodiment in accordance with techniques herein may include multiple storage tiers including a first tier of flash devices and one or more other tiers of non-flash devices having lower performance characteristics than flash devices. The one or more other tiers may include, for example, one or more types of disk devices. The tiers may also include other types of SSDs besides flash devices.

The different levels of activity information described herein as obtained at a thin device level, extent level, and sub extent level provide a hierarchical view for characterizing activity of different portions of thin devices. Activity information at higher device levels may be used to first identify devices which may be candidates for data movement, such as between storage tiers (e.g. for promotion and/or demotion). In connection with thin devices, once such a first device is identified, additional detail regarding the first device's activity as reflected in extent activity level information may be used to identify an extent of the first device as a candidate for data movement. Subsequently, the activity bitmap for the extent identified may then be used to determine one or more sub extents of the identified extent for data movement. The techniques herein may be used for collecting and tracking activity of thin devices. Use of the decay coefficients and equations for determining adjusted activity levels to account for previous activity levels provides an effective way of tracking workload and activity over time without having to keep a large database of historical statistics and metrics for long and short time periods.

In addition to the activity information described above for each extent and sub extent of a thin device, an embodiment may also track device level activity information for logical devices (e.g., thin devices, LUNs, data devices, and the like) and physical devices in a data storage system as also noted. Additionally, an embodiment may track activity information for thin device pools. When a DA or other device interface services an I/O, the DA may not typically have any knowledge regarding thin devices as may be known from the host's point of view. In connection with collecting data for use with techniques herein, each DA may be provided with additional mapping information regarding thin devices and where storage for the thin devices is allocated (e.g., such as described by the allocation map). The DA may use this information to determine what thin device (if any) is associated with a given back end I/O request. When the DA is servicing a back end I/O request, the DA may record information about the I/O including information about the thin device associated with the I/O request. Such additional information about the thin device may be used in order to perform statistics collection of activity data for the thin devices in accordance with techniques herein.

In addition to the statistics and activity data described above, an embodiment may also collect and store information regarding expected I/O size information for each extent, thin device (or other logical device), physical device, and the like. Such information may be determined in any one or more suitable ways in an embodiment. For example, an embodiment may determine expected I/O sizes that represent the average size with respect each of the particular types of I/O operations for which statistics are collected. In connection with the embodiment herein, the types of I/O operations for which statistics are collected may be as described above for read miss or random read miss (RRM), pre-fetch (P) or sequential read miss (SRM), and write (W). In a manner similar to that as described elsewhere herein for other statistics, the average I/O sizes may be determined based on size information collected for observed I/O operations. The collected size information based on observed I/Os may be used in determining or modeling expected I/O sizes in connection with equations, such as EQUATION 4, described elsewhere herein when determining various scores. For example, an embodiment may determine a first average I/O size based on I/O sizes of write operations observed for a time period, a second average I/O size based on I/O sizes for SRM operations for a time period, and a third average I/O size based on I/O sizes for RRM operations for a time period. The foregoing average I/O sizes may be tracked with respect to each extent and other levels (e.g., thin device, physical device, etc) in a manner similar to that as described above such as in FIG. 10 for other statistics. An embodiment may also use other approaches which may be further simplified. For example, rather than track such I/O size information for each extent, an embodiment may determine an average I/O size with respect to each particular type of I/O operation (W, RRM and SRM) as an aggregate across one or more devices, such as for a physical device, pool of physical devices, thin device, and the like, and then determine an average I/O size with respect to all extents or data portions thereof. In one embodiment, the expected I/O size for any desired I/O operation type such as used in connection with EQUATIONs 4 and 5 described elsewhere herein, may be computed as an average I/O size based on previously gathered data including metrics related to total amount of data (in bytes, megabytes, or other size unit) for a given time period and total number of I/O operations (for the time period over which the total amount of data is determined). More formally, the average I/O size used as an expected I/O size for a given I/O type may be represented as: Ave size for given I/O type=TOTAL_DATA_TRANSFER/TOTAL_OPS  EQUATION 3A where

“Ave size for given I/O type” is the average or expected I/O size for a given I/O operation type (e.g., Read, Write, Read miss, etc.);

“TOTAL_DATA_TRANSFER” is the total amount of data (e.g., in bytes, megabytes or other size unit) for the desired I/O operation type for a given time period; and

“TOTAL_OPS” is the total number of I/O operations observed during the time period for which the TOTAL_DATA_TRANSFER is observed.

It should be noted that EQUATION 3A is one way in which an embodiment may estimate that averages as may be used in connection with expected I/O sizes as described elsewhere herein. Another way an embodiment may determined average I/O sizes is based on a an equation using weighted averages, using information as may be gathered using the allocation map as described elsewhere herein (e.g., to gather information for data portions based on I/Os directed to the physical device where such data portions are stored), and more generally any suitable technique.

In connection with techniques in following paragraphs, the extent-based short term and long term statistics or metrics as described in FIG. 10 may be used in determining scores indicating the activity of extents. In one embodiment, the score may be a weighted value based on a combination of all six metrics 322, 324, 326, 332, 334 and 336 of FIG. 10 although an embodiment may generally use any metrics in determining such scores. In an embodiment herein, a promotion score for an extent may be represented in EQUATION 4 as: ((P1*P7*s_rrm)+(P2*P8*s_w)+(P3*P9*s_p)+(P4*P10*1rrm)+(P5*P11*l_w)+(P6*P12*l_p))/(#Active Subext+1) where s_rrm is the rate of short term random read misses (322), s_w is the rate of short term writes (324), s_p is the rate of short term pre-fetches or SRMs (326), l_rrm is the rate of long term random read misses (332), l_w is the rate of long term writes (334), and l_p is the rate of long term pre-fetches or SRMs. The coefficients P1-P12 may be set as appropriate and are described in more detail elsewhere herein. It should be noted that “#Active Subext” represents the number of active subextents or subportions of an extent or other larger data portion for which the score is being determined. Examples of evaluating when a subextent or other subportion is active are described elsewhere herein. It should be noted that metrics used in connection with determining promotion and/or demotion score may take into account I/O size.

The coefficients P1-P6 may represent weights assigned to the different operation types denoting how much weight is given to each particular operation type (e.g., which of random read miss (RRM), pre-fetch (P) or sequential read miss (SRM), write (W)) and the long term and short term variants of expected rates at which such operation types are expected (e.g., predicted or modeled) to occur in the future. In one aspect, the coefficients P1 and P4 represent the weighted preference given to the RRM operation type relative to the other operations types of SRM (or P) and W. In particular, P1 represents the weighted preference given to the short term operation count or rate for the RRM operation type and P4 represents the weighted preference given to the long term operation count or rate for the RRM operation type. In a similar manner, the coefficients P2 and P5 represent the weighted preference given to the W operation type relative to the other operations types of SRM (or P) and RRM. In particular, P2 represents the weighted preference given to the short term operation count or rate for the W operation type and P5 represents the weighted preference given to the long term operation count or rate for the W operation type. Furthermore, the coefficients P3 and P6 represent the weighted preference given to the P or SRM operation type relative to the other operations types of W and RRM. In particular, P3 represents the weighted preference given to the short term operation count or rate for the P or SRM operation type and P6 represents the weighted preference given to the long term operation count or rate for the P or SRM operation type. The weights or coefficients P1-P6 may be generally referred to as operation type weights. In some embodiments, values for P1-P6 may be dynamically selected each time a new set of statistics or metrics (e.g., 320 and 330 of FIG. 10) are utilized in performing processing described herein. Values for P1-P6 may be generally selected based on expected storage tier workload characteristics and particular performance characteristics of physical drives in the different tiers. Examples of how values for P1-P6 may be selected are described in more detail elsewhere herein. It should be noted that an embodiment may also use a combination of fixed values for P1-P6 when determining a score in connection with evaluating which data portions to store in one or more of the storage tiers and may use dynamically determined values for P1-P6 when determining a score in connection with evaluating which data portions to store in one or more others of the storage tiers. For example, an embodiment may use dynamically selected values for P1-P6 when determining a promotion score of EQUATION 4 for use when evaluating which data portions to store in a target high performing SSD or flash-based storage tier, and may otherwise use a same set of fixed values for P1-P6 when determining a promotion score of EQUATION 4 for use when evaluating which data portions to store in a non-SSD or non-flash-based storage tiers (e.g., storage tiers comprising rotational disk drives). In an embodiment, the fixed values used for P1-P6 for non-SSD-based tiers may be 12, 4, 4, 3, 1, and 1, respectively. Of course, different values may be used to emphasize or deemphasize different I/O characteristics in connection with determination of the promotion raw score. Thus, different values for weights P1-P6 may be selected for use depending on which target tier the promotion score is being calculated for. Such values may be dynamically and continually determined based on current expected workload characteristics of a storage tier at different points in time. An embodiment may also selected weights for P1-P6 which are fixed or static throughout operation and performance of the techniques herein where such a fixed set of the same weights may be used for one or more storage tiers.

The coefficients P7-P12 may represent additional weights assigned or associated with each particular variant combination of operation type (e.g., RRM, SRM or P, and W) and short term or long term for each operation type. Generally, the coefficients P7-P12 may represent weighting factors that may be characterized as varying with, dependent on, or a function of, expected I/O size for the three different operation types of RRM, SRM or P, and W. In particular, P7 and P10 represent weighting factors that vary with, or are a function of, expected I/O size for the RRM operation type. P8 and P11 represent weighting factors that vary with, or are a function of, expected I/O size for the W operation type. P9 and P12 represent weighting factors that vary with, or are a function of, expected I/O size for the P or SRM operation type. Weights P7-P12 may also be referred to herein as I/O size or data transfer weights. As noted above, EQUATION 3A is one way in which the expected I/O size may be determined for use in connection with determining such weights. It should also be noted that as a variation to the above where in one embodiment, size weights as represented using P7-P12 may be applied to only the short term metrics (e.g., always use a size weight of 1 for weights P10, P11 and P12 for long term metrics).

In some embodiments, values for P7-P12 may be dynamically selected each time a new set of statistics or metrics (e.g., 320 and 330 of FIG. 10) are utilized in performing processing described herein. Values for P7-P12 may be generally selected based on expected storage tier workload characteristics and particular performance characteristics of physical drives in the different tiers. For example, as described in more detail elsewhere herein, if particular storage tiers have physical drives where a response time or other measurement of performance does not exhibit a substantial dependency upon I/O size, then values for P7-P12 may be 1 so as not to introduce any bias based upon expected I/O sizes for the different operation types. Examples of how values for P7-P12 may be selected are described in more detail elsewhere herein. It should be noted that an embodiment may also use fixed values for P7-P12 when determining a score in connection with evaluating which data portions to store in one or more of the storage tiers and may use dynamically determined values for P7-P12 when determining a score in connection with evaluating which data portions to store in one or more others of the storage tiers. For example, an embodiment may use dynamically selected values for P7-P12 when determining a promotion score of EQUATION 4 for use when evaluating which data portions to store in a target high performing SSD or flash-based storage tier and may otherwise use a set of fixed values for P7-P12 of 1 for all of P7-P12 when determining a promotion score of EQUATION 4 for use when evaluating which data portions to store in a non-SSD or non-flash-based storage tiers (e.g., storage tiers comprising rotational disk drives). Of course, different values may be used to emphasize or deemphasize different I/O characteristics in connection with determination of the promotion raw score. Thus, different values for weights P7-P12 may be selected for use depending on which target tier the promotion score is being calculated for.

Values of P7-P12 may be selected as a function of expected I/O sizes for the different operation types. For example, P7 and P10 may be determined as a function of the expected I/O size of the RRM operations with respect to the extents for which the promotion score is being determined. P8 and P11 may be determined as a function of the expected I/O size of the W operations with respect to the extents for which the promotion score is being determined. P9 and P12 may be determined as a function of the expected I/O size of the SRM or P operations with respect to the extents for which the promotion score is being determined.

Values for P7-P12 may be based on each storage tier and drive technology depending on the sensitivity of response time to I/O size. Thus, the drive technology may be used in selecting that particular values for P7-P12 such as using curves of FIGS. 13D and 13E where the more sensitive or greater dependency between response time and I/O size, the greater the variation in values of the bias or weights assigned.

The demotion score for an extent may be represented in EQUATION 5 as: (P4*P10*s_rrm)+(P5*P11*s_w)+(P6*P12*s_p)+(P1*P7*l_rrm)+(P2*P8*l_w)+(P3*P9*l_p) where s_rrm, s_w, p1, etc. are as set forth above.

As noted above in connection with the exemplary EQUATIONS 4 and 5 for computing, respectively, the promotion and demotion scores, the same set of coefficients may be used. Alternatively, an embodiment may, however, use a different set of coefficients for computing the promotion and demotion scores.

In a multi-tiered storage system as described herein, an application having its data stored on thin devices of a storage group may be allowed to use multiple tiers of storage. In order to be able to use the storage of the tiers efficiently and also move a minimal number of chunks between tiers, chunks which are the most active or “hot” need to be located in the higher tiers (e.g., promoted to such tiers if not already located there) and chunks which are least active or “cold” need to be located in lower storage tiers (e.g., demoted to such tiers if not already located there). After identifying the hot and cold chunks, processing may be performed to determine how much of the hot chunks should be placed in the different storage tiers in order to efficiently utilize the higher performing tiers, such as flash tiers, while also avoiding overloading any given tier with I/O request or I/O transfer activity to the point that overall performance (e.g., across all tiers in the AP, across one or more SGs, for the whole data storage system, and the like with respect to the physical devices under consideration) would have been better had less of the workload been placed in the tier. In connection with the foregoing, techniques are described in following paragraphs which determine promotion and demotion thresholds of a data movement policy that may be associated with one or more SGs. The data movement policy as described herein in the context of thin devices affects what data portions of thin devices are data movement candidates and may be moved to another tier. The selection of promotion and demotion thresholds may be made by considering criteria including performance limits (e.g., response time, number of I/Os per time period, and the like) and capacity limits. The performance limits may be flexible or adaptable and specified for each storage tier. The capacity limits may also be specified for each storage tier and may include capacity limits included in an AP for the affected one or more SGs. The techniques model response time of target storage tiers when evaluating different alternative hypothetical considerations in which performance limits are varied for each tier when selecting promotion and demotion thresholds. The different sets of performance limits in combination with capacity limits are evaluated by modeling the expected target tier performance and then determining an overall performance metric representing an aggregate modeled performance metric across all target storage tiers for all affected SGs. In one embodiment, the overall performance metric may be an average response time determined with respect to all target storage tiers using the modeled response time as determined for each such tier. The average response time is used to compare the overall modeled performance for the storage tiers when evaluating different sets of performance limits for each target tier. Each set of performance limits specified for multiple tiers may be used as a way to provide weighting factors for I/O workload distribution across the tiers in order to reflect the performance differences of the different tier storage technologies. Utilizing such “what if” analysis to evaluate different sets of performance limits coupled with capacity limits provides for determining promotion and demotion thresholds that may be used by the DA, or more generally, other backend data storage system components, in connection with performing data movements in accordance with workload or performance impact across all target storage tiers to increase overall performance.

In connection with techniques herein as mentioned above, response time may be considered as performance criteria alone, or in combination with other performance criteria in combination with capacity limits, when determining promotion and demotion thresholds affected what data portions of a thin device may be moved between physical storage devices in different storage tiers. The techniques herein consider different performance characteristic information and curves that may vary with each storage tier, type of physical device, device vendor, and the like. In particular, performance curves for the different storage tiers may be determined and used to model target tier and also overall SG performance across storage tiers as part of processing to evaluate different sets of performance limits in combination with capacity limits. As an example, consider a workload of N I/O operations/second. The response time experienced for the same workload varies with storage tier due to the underlying capabilities of each tier's technology. As such, performance curves may be used in connection with techniques herein to model expected response times if a particular data movement is performed in accordance with candidate promotion and demotion thresholds.

Referring to FIG. 13, shown is an example of performance characteristic information illustrated in the form of curves for different storage tiers such as may be based on different disk drive types. The example 550 illustrates general curve shapes as may be associated with a SATA drive (as represented by 552) and an FC disk drive (as represented by 554) in connection with processing rate (X-axis in terms of IOs/second) vs. response time (Y-axis). As may be seen from the illustration 550, for a same processing rate of I/Os/second, different RTs are obtained for each of a SATA drive and an FC disk drive. As such, when moving data storage tier of SATA drives to a storage tier of FC drives, differences in performance characteristics such as response times are taken into consideration in accordance with techniques herein. An embodiment may store data as represented by the curves of FIG. 13 in one or more tables having rows and columns of data point values (e.g., X and Y coordinates for a plurality of points). When stored in tabular form, interpolation, curve fitting techniques, and the like, may be used in connection with determining values of X and Y coordinates lying between two existing points stored in the table. When considering moving data between devices of different types or more generally having different device characteristics, such tables of performance characteristic information may be used to determine, for a given processing rate of I/Os per second, a modeled RT for each of the different device types. For example, consider a first storage tier of SATA drives and a second storage tier of FC disk drives. In modeling performance based on a proposed data movement, an aggregated or total processing rate for each target tier may be determined, for example, using performance data collected. For such a total processing rate on the X-axis, a corresponding modeled RT value (Y-axis) may be obtained for each storage tier using tables or curves, such as illustrated in FIG. 13. An embodiment may use appropriate performance curves for each of the different storage tiers and associated technologies of the tiers. The performance curves may be obtained for each storage tier based on observed or collected data through experimentation. The particular parameters or metrics of collected data used to obtain performance curves to model expected RT may vary with storage tier and underlying technology. For example, as described in U.S. patent application Ser. No. 12/924,361, filed Sep. 24, 2010, TECHNIQUES FOR MODELING DISK PERFORMANCE, which is incorporated by reference herein, performance curves for modeling response times for disk drives is described using total number of I/Os and I/O size. Other technologies such as flash-based drives may use other parameters in modeling to determine the appropriate performance curve. For example, one approach to modeling flash-based drives may utilize observed performance data related to total number of I/Os, I/O size, and a ratio of read operations/write operations. Additionally, data modeling for different storage drives may utilize a feedback process. At a point in time, there is a set of data representing the performance curve for a particular drive. The actual measured RT of the drive for a given workload in terms of I/Os per second, for example, may be compared to a modeled RT value determined using the performance curve for similar model parameter values. Adjustments may be made to the modeled performance curve based on differences between the measured RT and modeled RT.

In connection with estimating thin device workloads, various metrics that may be used are described herein and also in U.S. patent application Ser. No. 12/924,396, filed Sep. 25, 2010, TECHNIQUES FOR STATISTICS COLLECTION IN CONNECTION WITH DATA STORAGE PERFORMANCE, which is incorporated by reference herein. Workload for thin devices may be determined in a variety of different ways in connection with determining the contributions of the thin device data portions that may be stored in multiple thin device pools. One approach may be to examine the allocation map and determine the workload of data portions based on I/Os directed to the physical device where such data portions are stored. However, an embodiment may use alternative approaches to estimate thin device workload due to additional resources consumed in connection with use of the allocation map which may adversely impact performance. When data portions of a thin device are moved from a first storage tier to a second storage tier, the related workload of such data portions are moved to the target tier. In one embodiment, storage for thin devices may be evenly distributed across a pool of data devices comprising a thin device pool. This results in even distribution of capacity and I/O workload thereby making it possible to correlate I/O workload and capacity allocation at the pool level rather than reading the allocation map for each thin device. In other words, a workload for a thin device data portion having storage allocated from a thin device pool of data devices may be estimated by collecting thin device pool statistics and then apportioning an amount of the workload indicated by the collected data distributed evenly across all data portions stored in the pool.

In connection with FIG. 13, it should be noted that the performance curve of modeled response time is a function of I/O rate (e.g. IOPS or I/Os per second). Performance curves may also be modeled for response time as a function of IOPS and also I/O size for the different storage tiers (e.g., physical device characteristics of physical devices in a particular tier).

Referring to FIG. 13A, shown is an example 600 illustrating a performance curve for modeled response time as a function of IOPS (Y-axis) and I/O size (average for physical drive in kilobytes (KBs)) for a 7.2K RPM rotating drive. Element 602 illustrates a scale of response times from 0-40 milliseconds where the particular pattern indicated on the scale for a response time is denoted on the X-Y graph of 600 for various combinations of IOPs and I/O sizes. Based on the example 600, it may be generally observed that the I/O size does not have a significant or substantial impact on response time (e.g., response time is not highly dependent on, or sensitive to changes in, I/O size) for the particular physical drive.

Referring to FIG. 13B, shown is an example 620 illustrating a performance curve for modeled response time as a function of IOPS (Y-axis) and I/O size (average for physical drive in kilobytes (KBs)) for a 10K RPM rotating drive. Element 622 illustrates a scale of response times similar to 602 where the particular pattern indicated on the scale for a response time is denoted on the X-Y graph of 620 for various combinations of IOPs and I/O sizes. Based on the example 620, it may be generally observed that I/O size for the 10K RPM rotating disk drive has a slightly greater dependency than that of FIG. 13A but that the I/O size for the 10K RPM does not have a significant or substantial impact on response time (e.g., response time is not highly dependent on, or sensitive to changes in, I/O size) for the particular physical drive.

Referring to FIG. 13C, shown is an example 630 illustrating a performance curve for modeled response time as a function of IOPS (Y-axis) and I/O size (average for physical drive in kilobytes (KBs)) for a 15K RPM rotating drive. Element 632 illustrates a scale of response times similar to 602 where the particular pattern indicated on the scale for a response time is denoted on the X-Y graph of 630 for various combinations of IOPs and I/O sizes. Based on the example 630, it may be generally observed that I/O size for the 15K RPM rotating disk drive has a slightly greater dependency than that of the 10K RPM drive of FIG. 13B but that the I/O size for the 15K RPM does not have a significant or substantial impact on response time (e.g., response time is not highly dependent on, or sensitive to changes in, I/O size) for the particular physical drive.

Referring to FIG. 13D, shown is an example 640 illustrating a performance curve for modeled response time as a function of IOPS (Y-axis) and I/O size (average for physical drive in kilobytes (KBs)) for an exemplary SSD drive such as an EFD. Element 642 illustrates a scale of response times similar to 602 where the particular pattern indicated on the scale for a response time is denoted on the X-Y graph of 640 for various combinations of IOPs and I/O sizes. Based on the example 640, it may be generally observed that I/O size for the EFD has a significant or substantial impact on response time (e.g., response time is highly dependent on, or sensitive to changes in, I/O size) for the particular physical drive.

Referring to FIG. 13E, shown is an example 650 illustrating a performance curve for modeled response time as a function of IOPS (Y-axis) and I/O size (average for physical drive in kilobytes (KBs)) for another exemplary SSD drive such as an EFD. The example 640 of FIG. 13D may represent the modeled performance curve for one type of EFD such as by one vendor based on one vendor's technology and implementation and the example 650 of FIG. 13E may represent modeled performance curve for another type of EFD such as by a different vendor or EFD drive with different performance characteristics than that modeled in FIG. 13D. Element 652 illustrates a scale of response times similar to 602 where the particular pattern indicated on the scale for a response time is denoted on the X-Y graph of 650 for various combinations of IOPs and I/O sizes. Based on the example 650, it may be generally observed that I/O size for the EFD has a significant or substantial impact on response time (e.g., response time is highly dependent on, or sensitive to changes in, I/O size) for the particular physical drive.

As such, based on the performance curves of FIGS. 13A-13E, an embodiment may select values for coefficients or weights P7-P12 when determining various promotion and demotion scores in connection with following techniques based on the target storage tier. The target storage tier may be the tier for which processing is performed to select data portions for movement to the target tier. In other words, if processing is determining which data portions may be moved to, or stored on, the flash or SSD tier, values for P7-P12 may be selected in accordance with the expected I/O sizes for each of the I/O operation types as described above. If processing is determining which data portions may be moved to, or stored on, rotating disk drives or, more generally, on a tier including non-flash drives or non-SSD drives, values for P7-P12 may be selected as 1 to reflect the fact that there is not a substantial dependency of I/O size for the particular drive on response time.

In connection with estimating modeled response times, performance curves such as that of FIGS. 13, and 13A-13E may be used based on the particular parameters considered when modeling the response times. For example, an embodiment may use FIGS. 13 and 13A-13C when modeling response times for promotion and demotion scores used with P7-P12 having values of 1 for different types of rotating disk drives. An embodiment may use FIGS. 13D-13E when modeling response times for promotion and demotion scores used with P7-P12 having values of determined as a function of I/O sizes.

The determination of the optimal tier for each extent of storage is driven by the goal of maximizing the chances of achieving storage performance objectives. This goal will tend to be achieved if the storage system can arrange for the largest share possible of the storage request workload to be serviced by the highest performing storage tiers. In connection with techniques herein, scores, such as the promotion and demotion scores, may be metrics or measurements used to drive this determination process where such scores may be calculated for each storage extent. The input to the calculation is information about the expected storage request workload that the storage extent will receive. The promotion and demotion scores as described herein provide a measure of how ‘well suited’ a storage extent is for placement on a first higher performing storage tier as opposed to a second lower performing storage tier. If the promotion and demotion scores used for the storage tiers are defined properly, then for a first promotion score used when determining what extents to store in an EFD storage tier, if storage extent or portion A has a higher promotion score than storage extent B, then storage extent A is better suited for placement on the EFD tier than storage extent B. Of key importance here is how an embodiment quantifies ‘well suited’. Informally, a storage extent should be considered more ‘well-suited’ for a high tier, such as an EFD tier, if placing the storage extent on the high tier tends to allow a greater number of storage requests (especially RRM requests) to be packed into the high tier. The foregoing provides for use of scores or metrics which guide the selection of the best extents to place on the different tiers.

The use of promotion and demotion scores with properly selected weights or coefficients P1-12 allows the storage system to identify the best extents to place in the different storage tiers in a computationally efficient manner. As described herein, for example, processing may be performed to sort the storage extents according to their promotion scores as may be used when determining which extents are best suited for the EFD storage tier. A sufficient number of the extents with the highest promotion scores may be selected to fill the EFD tier based on any one or more of storage capacity limits and/or performance limits for the EFD tier. Similarly, other tiers may be filled with selected extents using scores determined using other values for weights P1-P12 selected for non-EFD tiers. This approach has the important property that it scales well to configurations involving very large numbers of storage extents.

As described above, the promotion and demotion scores may have values selected for P7-P12 (e.g., for the size or data transfer weights) to express any existing dependency of the score on I/O size. Weights P7-P12 may have values selected which are always 1 for non-EFD tiers or, more generally, for those storage tiers having drives which do not have a substantial affect on response time or other performance metric used to measure system performance.

To illustrate how values for P7-P12 may be selected for an EFD tier where such values for the EFD tier may not always be 1 and may depend on the expected storage tier workload characteristics and the particular performance characteristics of the drives in the high tier, consider the case of a multi-tier storage configuration that includes a storage tier comprised of Enterprise Flash Drives (EFDs). Generally speaking, EFD drives are considered high performing because they are particularly efficient at I/O operation processing (much more so than rotating drives are). However, the data transfer rates supported on EFD drives are not correspondingly large in comparison to data transfer rates for rotating disk drives. As known in the art, data transfer rate or throughput may be characterized as the speed at which data can be transferred between devices. For example, data transfer rates may be expressed in terms of Mbps (amount of data transferred for given unit of time). As such, an embodiment may perform processing to select values for P7-P12 dynamically for the EFD tier by considering the expected workload on the EFD storage tier and the specific performance characteristics of the EFD drives underlying the EFD storage tier. For example, if the expected workload on the EFD storage tier is light enough that the data transfer limits of the EFD drives will not be approached, then an embodiment select size weights (e.g., values of P7-P12) for use with EQUATION 4 that are one to thereby allow the greatest number of storage requests to be packed into the available storage capacity in the EFD storage tier (e.g., an embodiment may use a function for EQUATION 4 that assigns a value of 1 to parameters P7-P12). If the expected workload on the EFD storage tier is heavy enough to approach the data transfer limits of the EFD drives, then an embodiment may select size weights (e.g., values of P7-P12) for use with EQUATION 4 that place greater weight on storage requests with small I/O sizes will allow the greatest number of storage requests to be packed into the available data transfer capacity of the EFD storage tier (e.g., an embodiment may use a function for EQUATION 4 that assigns larger values to parameters P7-P12 for data portions with smaller I/O size).

An embodiment in accordance with techniques herein may use models of drive performance to determine whether the performance of the drives in a storage tier is data transfer limited, and the values for P7-P12 may be assigned accordingly as a function of varying I/O size for the different operation types as described elsewhere herein. With scores for the EFD storage tier, there is a preference to have extents in this EFD tier which have higher IOPS of smaller sizes. Therefore, an embodiment may select values for P7-P12 providing a bias or greater weight to a short term or long term metric when the operation type (e.g., RRM, SRM, or W) has smaller expected I/O sizes.

To illustrate how an embodiment may select values for P1-P6 (e.g., operation type weights) for use in the scores for a tier where such values for P1-P6 may depend on the expected storage tier workload characteristics and the particular performance characteristics of the high tier drives, let us again consider the case of a multi-tier storage configuration that includes a storage tier comprised of EFDs. Suppose performance of a particular type of EFD drive is particularly sensitive to the amount of write activity on the drive, with performance degrading for larger amounts of write activity. An embodiment in accordance with techniques herein may take this into account when selecting values for P1-P6. For example, consider a first case where, if the total amount of write workload that may be delivered to the EFD storage tier is light enough to not degrade the performance of the EFD drives, then the scores calculated for the EFD tier may use a small positive (or zero) values for P2 and P5 associated, respectively, with the short term and long term W statistics (e.g., s_w and l_w from EQUATIONS 4 and 5), and relatively large values for P1 and P4 associated, respectively, with the short term and long term RRM statistics (e.g., s_rrm and l_rrm from EQUATIONS 4 and 5), since this allows the greatest number of RRM requests to be packed into available EFD storage. However, consider a second alternative case wherein, if the total amount of write workload that may be delivered to the EFD storage tier is heavy enough to degrade the performance of the EFD drives, then the scores may select lower (e.g., in comparison to those for the first case) or negative values for P2 and P5 associated with the short term and long term W statistics, and yet larger values for P1 and P4 (e.g., larger than in the first case) associated, respectively, with the short and long term RRM statistics. This selection in the second case allows the greatest number of RRM requests to be packed into available EFD storage. An embodiment in accordance with techniques herein may use models of drive performance to determine whether the performance of the drives in a storage tier is write performance limited, and values for P1-P6 may be assigned accordingly.

More generally in connection with selecting values for P1-P6 of the scores, values may be selected depending on how much preference is given to provide better performance (such as better response time) for a particular operation type (e.g., R vs. W, or preference ordering of multiple types RRM, SR, and W). For example, an embodiment may give higher weight to RRM over W since it is more likely that there is an application waiting for the data of the RRM operation to complete before the application can further proceed with processing. An embodiment may give less weight to sequential read (SR) operations than RRM operations. Write operations and associated statistics in the scores may be given the least relative weight because a waiting host or application performing the write may receive an acknowledge that the operation is complete once the write data is written to cache rather than having to wait for data to be read from a physical drive as with any type of read miss operation (e.g., RRM and SR collectively).

As discussed elsewhere herein, policies may be used to determine when to promote data (map the data to a relatively faster tier) and when to demote data (map the data to a relatively slower tier). In particular, one such policy is a data movement policy based on promotion and demotion thresholds that may be determined using promotion and demotion scores for data portions. In an embodiment herein, this may be performed by first determining a score for different portions of a storage space based on relative activity level and then constructing promotion and demotion histograms based on the different scores and the frequency of each. In connection with thin devices, each of the data portions may correspond to a logical extent for which such scores are determined. Exemplary ways in which the promotion and demotion scores may be calculated are described above. The promotion and demotion scores may be used, respectively, in connection with the promotion and demotion histograms described below in more detail. Generally, the scores may be characterized as reflecting the I/O benefit to the host application and cost (e.g., in terms of performance bandwidth) to the targeted storage device tier. In connection with constructing the histogram, all extents are ordered or sorted according to their scores, from highest to lowest. Those extents having the highest scores are generally those preferred to be selected for having storage allocated from the highest performing tier. The histogram is one way in which such scores may be sorted and utilized in connection with techniques herein. It will be appreciated by those of ordinary skill in the art that there are alternative ways to define and compute the scores than as described herein. In one embodiment described herein, the scores may be computed differently for promotion and demotion to reflect the difference in criteria related to data movement into and out of storage tiers.

For purposes of illustration, consider an example of a single SG which may use a group of data devices, and thus physical devices, in three thin device pools—one for each of three storage tiers such as illustrated in FIG. 8A. Workload statistics such as described in connection with FIG. 10 may be computed for each extent and a promotion score may be calculated for each extent in the SG. Also, assume that only thin devices managed in accordance with techniques herein for which data movement may be performed are located in the SG and use the foregoing thin device pools. In this example, the three storage tiers may include a first storage tier of EFDs, a second storage tier of FC rotating disk drives and a third storage tier of rotating SATA disk drives where storage tiers 1-3 are correspondingly ranked highest to lowest as performance tiers.

In connection with techniques herein, assume a first set of promotion scores are determined using a first promotion score having weights or coefficients selected for the first or highest storage tier to be filled, the EFD storage tier. A first promotion histogram described below in connection with FIG. 14 may be produced using the first set of promotion scores for filling the EFD storage tier.

Referring to FIG. 14, a histogram 1000 illustrates a plurality of activity bins (buckets) and the frequency thereof. Each vertical line of the histogram 1000 represents a bin corresponding to a number of data portions (e.g., extents) having the corresponding score. Determination of a score for a data portion is discussed in more detail elsewhere herein. In an embodiment herein, there are five thousand bins. Of course, a different number of bins may be used instead. The height of each bin represents a number (frequency) of data portions having a particular score. Thus, the longer a particular vertical line, the more data portions there are having the corresponding score. Note that the sum of all of the frequencies of the histogram equals the total number of data portions of the system. Note also that the sum of frequencies of a portion between a first score and a second score equals the total number of data portions having a score between the first and second scores. As such, the total capacity allocated for a particular bin assuming a fixed size data portion may be determined as the mathematical product of the frequency of data portions in the bin (of those data portions having allocated storage) and the size of a data portion. If the data portions in a bin may have varying size, then such sizes corresponding to the allocated storage amounts for the data portions may be summed to determine the total capacity of storage allocated for the bin. In a similar manner, the modeled response time (e.g., average) for the total cumulative workload (e.g., total I/Os/second) and optionally also based on I/O size of those data portions may be determined. The histogram 1000 also shows a first range indicator 1002 that corresponds to bins having a score from S1 to SMAX (the maximum score). In the embodiment herein, there are three levels or tiers of physical storage and data portions of the thin device having a score corresponding to the first range indicator 1002 are promoted (mapped) to a highest (fastest) level of storage and data portions having a score corresponding below S1 are mapped to other storage tiers described below. Thus, S1 may represent the promotion score corresponding to the promotion threshold for the first or highest storage tier so that all data portions having a score at or above S1 are promoted to the highest storage tier, or otherwise considered a candidate for such promotion if not already located in the highest storage tier.

In a similar manner, for those extents or data portions which do not have first promotion scores at or above S1, a second set of new promotion scores may be determined whereby each promotion score of the second set is based on a second promotion score using values for P1-P12 selected for the next fastest or second storage tier to be filled (e.g., the FC rotating disk drive tier in this example). As described herein, values for P7-P12 may all be 1 with values for P1-P6 selected as may be determined dynamically or based on fixed values. Based on these new second promotion scores, a second promotion histogram is constructed as described in connection with FIG. 14 with the differences that 1) the scores are the second promotion scores for those data portions not previously mapped to the first storage tier using the first promotion histogram, and 2) the threshold S1 now denotes the promotion score corresponding to the promotion threshold for the second storage tier (next fastest) so that all data portions having a score at or above S1 are promoted to the second storage tier, or otherwise considered a candidate for such promotion if not already located in the second storage tier. Since this example only includes three storage tiers, those data portions having a second promotion score below the threshold are mapped to (stored in) the lowest or third storage tier of SATA drives.

It should be noted that above-noted two promotion histograms of FIG. 14 used in connection with promotion scores and also in connection with demotion histograms such as in FIG. 16 (described below) in connection with demotion scores may include scores for all data portions under consideration or analysis. For example, as described elsewhere herein in connection with other examples, the techniques herein may be performed with respect to a number of storage groups of thin devices having their storage allocated from one or more storage pools so that the thin devices have storage allocated from a set of physical drives. In this case, the histograms may include scores with respect to the foregoing data portions of the number of storage groups under consideration and evaluation with the techniques herein.

It should be noted that an embodiment using a histogram may select a suitable number of bins or buckets and an interval for each such bin. In one embodiment, the size of each bin may be driven by a selected number of bins with each bin having the same size. Additionally, an embodiment may use different techniques in connection with mapping or converting the promotion and demotion scores to indices associated with histogram bins. For example, an embodiment may use linear scaling to set a lower boundary for buckets having an associated index lower than a selected pivot value and may use logarithmic scaling to set a lower boundary for buckets above the pivot. Logarithmic scaling may be appropriate in embodiments having larger scores or a wide range of scores in order to scale the size of scores above the pivot. In such embodiments, the score range associated with a bucket interval above the pivot varies so that a reasonable number of data portions are mapped to the associated bucket. Whether a histogram or other suitable technique is used may vary with the number of buckets, the number of data portions, and the like.

Additionally, it should be noted that rather than have a histogram with frequency on the Y-axis as in FIG. 14, an embodiment may represent the total allocated capacity on the Y-axis of the number of data portions having scores within a particular bin. In other words, the height of the bucket or bin represents the total allocated capacity of the scores mapped to that bin. Other representations are possible besides histograms in connection with determining promotion thresholds and also demotion thresholds as described elsewhere herein in more detail.

In connection with determining the first tier promotion threshold S1 of FIG. 14, processing is performed to map a number of data portions to the highest performing tier in accordance with criteria including a combination of one or more capacity limits and one or more performance limits. A capacity limit may be specified for each storage tier for the SG in an AP associated with the SG as described above. Additionally, a capacity limit indicating the physical maximum amount of storage capacity as a physical characteristic of the drives may also be considered since it may be possible in some embodiment to exceed the maximum capacity of the drives prior to exceeding the capacity limits in accordance with an AP. Additionally, one or more sets of performance limits may be specified for each storage tier. In one embodiment, performance limits may be specified in terms of response time for each tier. An embodiment may define one or more sets of predetermined response time performance limits for storage tiers where such sets of response time limits may also referred to as performance or comfort zones. Each set contains a response time limit for each storage tier that may be the target of promotion. In one embodiment, limits are not specified for the bottom tier. In one embodiment, seven comfort zones may be specified where each zone includes a response time limit for the first highest performing storage tier, such as flash-based tier, and the second highest performing tier, such as FC disk drives. For example, the following response time performance limits may be specified for seven comfort zones in the embodiment having 3 storage tiers:

Comfort EFD/flash FC disk Zone Response Time (ms) Response Time (ms) 1 1  6 2 2 10 3 3 14 4 4 18 5 6 25 6 8 40 7 10  50

Of course, an embodiment may provide any number of comfort zones more or less than seven and for a different number of storage tiers. Additionally, the foregoing values are exemplary and may vary with technology, drive vendor, and the like. Generally, values specified as the performance limit metrics, such as response times, may vary with the workload and/or other workload characteristics (such as I/O size) of a particular system and may be determined in any suitable manner. For example, values for the foregoing metrics may be made based on knowledge regarding particular workload of a system and typical performance of drives of different storage tiers in a system. In this manner, limits specified may be realistic and in accordance with typical workload performance within a system. It should be noted that the foregoing limits may also be selected based on end user performance requirements. Additionally, as noted elsewhere herein, although response time is used as the workload or performance metric in connection with the foregoing comfort zones, other performance criteria metrics may be used in combination with, or as an alternative to, response time. For example, an embodiment may use utilization as a metric in a manner similar to response time in connection with techniques herein. That is, just as comfort zones include response time limits for storage tiers, comfort zones may include other criteria such as a utilization for each storage tier. As known in the art, utilization of a resource, such as a physical drive or with respect to physical drives of a storage tier, may be defined as a metric measuring an amount of time a device is utilized or in a non-idle state. For example, utilization for a storage tier may be represented as a percentage (e.g., based on a ratio of an amount of time the physical devices of the storage tier are in the non-idle state/total amount of time). The foregoing utilization metric may represent the average utilization for a storage tier determined over a period of time.

Generally, processing may be performed to determine a set of promotion thresholds for the different storage tiers (e.g., S1 of FIG. 14) in accordance with criteria including capacity limits and a set of performance limits for a single comfort zone. In connection with the above-mentioned first promotion histogram used when mapping data portions to the first or EFD storage tier, processing traverses the first promotion histogram, from highest score to lowest score, mapping data portions to the first storage tier until either the capacity limit for the first storage tier is reached or until the response time performance limit for the first storage tier is reached. Similarly, in connection with the above-mentioned second promotion histogram used when mapping data portions to the second of FC storage tier, processing traverses the second promotion histogram, from highest score to lowest score, mapping data portions to the second storage tier until either the capacity limit for the second storage tier is reached or until the response time performance limit for the second storage tier is reached.

For each storage tier, a performance counter is maintained indicating a modeled current I/O processing rate (e.g., total IOPS) and associated modeled response time based on those data portions currently mapped to the storage tier. As described elsewhere herein, performance curves such as illustrated in FIGS. 13 and 13A-13E may be used in modeling current performance for each storage tier based on data portions currently mapped to the storage tier when traversing the histogram scores. As each bucket or bin of the histogram has its data portions mapped to the first storage tier, the performance counter (indicating an updated modeled tier RT) is updated to reflect the modeled performance for the first storage tier as also including the additional data portions of the bucket now newly mapped to the first storage tier. For example, as a bucket of data portions is mapped to the first storage tier, the performance or workload information attributed to the newly added data portions in combination with those data portions already mapped to the first storage tier may be input to the appropriate storage tier performance model to determine a modeled aggregate response time. For example, as described above, one disk performance model for SATA and FC disk drives may use as the following as modeling inputs—total number of I/Os (e.g., used to determine the number of I/Os per second or other unit of time) and I/O size (or average I/O size of the total number of I/Os considered)—as collected or observed for the data portions. With these modeling inputs for the aggregated data portions mapped to the first storage tier, the modeling technique may use performance curves to determine an estimated or modeled response time for the physical storage devices in the storage tier based on the aggregate workload of the existing data portions currently mapped to the first storage tier and the additional data portions now also mapped to the first storage tier. In a similar manner, processing may track the current amount of storage of the first tier consumed via the mapping so far. After each bucket of data portions is additionally mapped to the first storage tier to hypothetically represent or model movement of such data portions to the first storage tier, a determination may be made as to whether any of the capacity limits or the response time performance limit for the first tier has been reached or exceeded. If so, the score associated with the current bucket is the promotion threshold. Thus, all data portions in buckets higher than the current bucket (e.g., scores exceeding that of the current bucket) are candidates for promotion to the first storage tier. It should be noted that in connection with the foregoing promotion threshold, the score used as the promotion threshold may be the upper limit of the bucket interval (e.g., score range) for the current bucket at which at least one of the capacity limits or response time performance limits was exceeded during histogram traversal.

In connection with response time performance modeling for a storage tier, as described elsewhere herein with thin devices, the additional I/Os associated with the data portions being added (via mapping) to a storage pool of a particular storage tier may be modeled as being evenly distributed across drives of the storage pool. In the simplified example described herein with only a single storage pool, the modeled storage pool response time is also the modeled storage tier response time. In the event of multiple storage pools in a single tier where all such pools are used by the SG, an embodiment may choose to evenly distribute the added I/O operations across all drives of the storage pool. As described elsewhere herein, a simplifying assumption is that there are no other consumers of the storage tier capacities than those thin devices under device management using the techniques herein. In the event that there are other types of devices having associated data stored on the storage tiers, the amount of storage consumed and the workload of such device may be considered when determining whether capacity and performance limits have been reached. It should be noted that the even distribution modeling as described above may reflect that which is actually performed by the storage tiers and devices therein being evaluated in connection with thin device storage allocation. If an embodiment allocates thin device storage in a different manner, then such modeling should reflect that which is performed in the embodiment.

In a similar manner, a promotion threshold for the second storage tier is determined by performing processing as described above for the first tier with the difference that the processing is performed for the second storage tier until either the capacity limits or response time performance limit of the first zone are reached for the second storage tier. The foregoing capacity limits and response time performance limits vary with each storage tier. Processing that maps data portions to the second storage tier resumes with the second promotion histogram including new second promotion scores for those unmapped data portions from the previous storage tier processing (e.g., those data portions of the first promotion histogram having first promotion scores below the first storage tier promotion threshold). In this manner, data portions which were not mapped to first tier storage are automatically considered for mapping to storage in the next highest tier. At the end of the second storage tier processing for the current zone, the second storage tier promotion threshold is determined.

Referring to FIG. 15, shown is a flowchart of steps summarizing processing as described above in connection with determining a single promotion threshold for a single target tier using criteria including capacity limits and comfort zone response time limits for the target tier as specified in a single zone of performance limits. Thus, flowchart 1050 may be executed twice to determine, for the first zone, the two promotion thresholds described above respectively for the first and second storage tiers using the first and second promotion histograms.

At step 1052, initialization processing is performed. Step 1052 includes initializing a variable, AMT, that keeps track of the amount of storage portions to zero. Step 1052 also includes initializing an index variable, I, to the maximum score (highest bin). In an embodiment herein, there are five thousand bins, so I would be set to five thousand at the step 1054. Of course, other numbers of bins are also possible. Following step 1052 is step 1054 where AMT is incremented by FREQ[I], the amount of data mapped to bin I. Following the step 1054 is step 1056 where an updated modeled tier RT (response time) is determined. At step 1058, a determination is made as to whether any of the capacity limits and/or response time performance limit for the current tier have been exceeded. Step 1058 may include comparing the updated modeled tier RT to the response time performance limit for the current zone and current target promotion tier. Step 1058 may include comparing the current amount of capacity of the target tier consumed via the modeled mapping represented by AMT to the AP capacity limit. As described elsewhere herein, the total capacity consumed across one or more bins may be determined based on the cumulative frequencies of those bins and the amount of allocated storage of the data portions in the foregoing one or more bins. Step 1058 may include comparing the current amount of capacity of the target tier consumed via the modeled mapping represented by AMT to the SG capacity limit such as may be based on the physical drive capacity limits. If it is determined at the test step 1058 that none of the established limits have been exceeded, then control passes from the test step 1058 to a step 1062 where the index variable, I, is decremented. Following the step 1062, control passes back to the step 1054 for another iteration. If any one or more of the foregoing limits are exceeded, step 1058 evaluates to yes and control proceeds to step 1064 where a score threshold is assigned the value of I. Data portions having a score of I or higher are promoted to the highest level of storage. Following the step 1064, processing is complete.

The methodology for determining score values used to map data portions (indicating promotion candidates) to one or more intermediate storage levels may be similar to that described above in connection with the flow chart 1050. In the case of second and third intermediate storage levels in this current embodiment with 3 storage tiers though, processing may be performed with respect to the second promotion histogram. In an embodiment having more than three storage tiers, new promotion scores and an associated new promotion histogram may be computed for a next lower storage tier as may be needed depending on whether a new promotion score is used.

If a same set of promotion scores is used for determining promotion for two storage tiers, the same promotion histogram may be used. For example, consider a case where there are 4 storage tiers—EFD and three storage tiers of rotating disk drives. A first set of promotion scores and a first promotion histogram may be used as described above to determine which data portions are mapped to the EFD tier. The first histogram may be based on first promotion scores having values calculated with weights P1-P12 selected for the particular EFD tier. Next, a second set of promotion scores may be calculated using a second promotion score different from that used in determining the first histogram. The second histogram may be based on second promotion scores having values calculated with new weights P1-P12 selected whereby P7-P12 may be 1 and P1-P6 may be a suitably selected. With reference to FIG. 14A, shown is the second histogram whereby S2 denotes a promotion threshold score for the second tier and S3 denotes a promotion threshold score for the third storage tier. In this case, when determining data portions mapped to the third storage tier, the index variable I would be initialized to a score that is one less than the lowest score of the next highest storage level, the second storage tier. For example, if storage portions having a score of 4500 to 5000 are assigned to the second storage level, then the index variable, I, would be initialized to 4499 in connection with determining scores for the third storage level just below the second storage level.

Once promotion threshold processing has completed for the current zone, demotion threshold processing is performed as will now be described.

Referring to FIG. 16, shown is a demotion histogram 1100 similar to the histogram 1000, discussed above which illustrates a plurality of scores and the frequency thereof. The histogram 1100 may be used to determine which of the data portions (if any) may be demoted (e.g., mapped to relatively slower physical storage). In some embodiments, the histogram 1100 may be identical to the histogram 1000. In other embodiments, the histogram 1100 may be different than the histogram 1000 because the scores for the histogram 1000 used for promotion may be different than the scores for the histogram 1100 used for demotion. Determination of promotion and demotion scores is discussed in more detail elsewhere herein.

In one embodiment including three storage tiers—EFD, FC rotating disk drives and SATA disk drives—as described above, a first demotion histogram 1100 may be determined for the EFD storage tier. In a manner similar to that as described above for a first set of promotion scores for the EFD tier, a first set of demotion scores may be determined for the EFD storage tier using first demotion scores having weights P1-P12 selected for the particular EFD storage tier. In the example 1100 of FIG. 16, shown is a first range indicator 1104 denoting that data portions have demotion scores less than S1 may be demoted (mapped) from the EFD first storage tier to one of the remaining two lower or slower storage tiers of physical storage.

Subsequently a second demotion histogram may be determined using those data portions which have demotion scores from the first histogram less than S1. In other words, those data portions having demotion scores less than S1 are demoted from the EFD storage tier but now a determination may be made as to which storage tier such demoted data portions are located—the FC or the SATA storage tiers. For those data portions demoted from the EFD storage tier, second demotion scores may be determined for use with a second demotion histogram. The second demotion histogram may be based on second demotion scores having weights P1-P12 selected for the second storage tier of FC rotating disk drives in this example. Thus, the second histogram is similar to the first histogram with reference to FIG. 16 with the differences that 1) S1 represents a second demotion threshold whereby all data portions have a demotion score less than S1 are demoted to the third or lowest storage tier and those data portions having a demotion score more than S1 are mapped to the second storage tier and 2) S1 represents the demotion threshold for the second storage tier.

In an embodiment, the demotion threshold for a tier may be determined in any suitable manner. For example, an embodiment may select a demotion threshold with respect to demoting a data portion from a storage tier based on the threshold score determined as the promotion threshold for the storage tier. The demotion threshold may be selected as a score that is the same or lower than the promotion threshold. For example, the demotion threshold may be determined using a constant factor by which the promotion threshold for the same storage tier is multiplied. (e.g. promotion threshold for a tier=1.2*demotion threshold for a storage tier). The foregoing may introduce a stationary zone between the promotion and demotion thresholds for a tier where scores falling this stationary zone are neither promoted or demoted with respect to the storage tier. Introduction of the stationary zone may serve as one mechanism that may be included in an embodiment to limit thrashing with respect to repeatedly promoting and then demoting the same data portions having scores which border the promotion or demotion threshold for a storage tier. The demotion threshold may be selected so that it is always equal to or less than the storage capacity for the SG as may be specified in an associated AP.

In an embodiment herein, the processing performed for demoting data portions (extents) may be similar to processing described in connection with FIG. 15 with the difference that processing may be reversed so that, for example, the portions to be demoted to the lowest level of storage may be determined prior to higher storage tiers by initially beginning with setting I in step 1052 to SMIN and incremented in each iteration. In such an embodiment, storage capacity limits and/or performance limits may be utilized as may be provided in connection with an embodiment. For example, an embodiment may not provide performance limits for the lowest/slowest performing tier but may provide such limits for other tiers. In this case, an embodiment may determine demotion thresholds based on the criteria provided (e.g., if performance limits are not provided for the third storage tier (e.g., slowest) then only capacity limits may be used for the third storage tier.

In some embodiments, when a data or storage portion (e.g., an extent) is selected for promotion, only active subportions (e.g., subextents) are promoted while inactive subportions remain at their current storage level. In an embodiment herein, a subportion is considered active if it has been accessed in the previous 4½ days and is considered inactive otherwise. Of course, other appropriate criteria may be used to deem subportions either active or inactive. In some embodiments, when a data portion (e.g., an extent) is selected for demotion, the entire storage portion may be demoted, irrespective of activity level of subportions. In addition, in some embodiments, appropriate mechanism(s) may be provided to reduce the amount of data that is demoted so that more data is maintained on relative faster physical storage devices. Each extent may be evaluated for promotion first as described above and then for demotion if it has not otherwise qualified for promotion. If an extent does not qualify for promotion or demotion, then no data movement is modeled for the extent and subsequently the extent is also not a candidate for data movement with respect to a set of criteria (e.g., capacity limits and performance zone limits) currently being evaluating through modeling using techniques herein. It should be noted that an extent that qualifies for promotion may not then subsequently be a candidate for demotion. Thus, a candidate that qualifies first for promotion may then be removed as a possible demotion candidate.

In some cases, it may be desirable to minimize the amount of data that is demoted. A mechanism for doing this may take into account the capacity and amount of data that has been placed onto the higher tiers and set the demotion threshold lower (so less data is demoted) if the amount of promoted data is less than the capacity (or specified percent of capacity) of the higher tiers. For example, if the policy indicates a desire to fill the higher tiers within fifty percent of capacity, but the promotion portion of the algorithm has only promoted data so that the higher tiers are thirty percent full, the demotion threshold may be set lower so that less data is demoted.

Referring to FIG. 16A, a flow chart 21150 illustrates steps performed in connection with creating the histograms 1000, 1100. Processing begins at a first step 21152 where an index variable, I, is set to one. The index variable I is used to iterate through the storage portions (e.g., extents) of a storage space. Following the step 21152 is a test step 21154 where it is determined if I is greater than MAX, a maximum value for I (e.g., the number of extents of the storage space). The test at the step 21154 determines if all of the storage portions of a particular storage space have been processed. If not, then control transfers from the test step 21154 to a step 21156 where the raw promotion score and the raw demotion scores are calculated.

The raw promotion score and the raw demotion score reflect an amount of I/O activity for a particular extent. Any appropriate mechanism may be used to calculate the scores some of examples of which are described herein. For example, in an embodiment herein, the raw promotion score is provided by the formula: (p1*s_rrm+p2*s_w+p3*s_p+p4*l_rrm+p5*l_w+p6*l_p)/(#Active Subext+1) where s_rrm is the rate of short term random read misses, s_w is the rate of short term writes, s_p is the rate of short term pre-fetches, l_rrm is the rate of long term random read misses, l_w is the rate of long term writes, and l_p is the rate of long term pre-fetches for a given extent. The coefficients p1-p6 may be set as appropriate. In an embodiment herein, the values used may be 12, 4, 4, 3, 1, and 1, respectively. Of course, different values may be used to emphasize or deemphasize different I/O characteristics in connection with determination of the promotion raw score. In an embodiment herein, the different short term and long term rates my be provided using the mechanism described in U.S. patent Ser. No. 12/924,396 filed on Sep. 27, 2010 and titled “TECHNIQUES FOR STATISTICS COLLECTION IN CONNECTION WITH DATA STORAGE PERFORMANCE”, which is incorporated by reference herein. Of course, any appropriate technique may be used for collection of the statistics used herein.

The demotion raw score may be determined using the following formula: (p4*s_rrm+p5*s_w+p6*s_p+p1*l_rrm+p2*l_w+p3*l_p) where s_rrm, s_w, p1, etc. are as set forth above.

Following the step 21156 is a step 21158 where the promotion bucket index and the demotion bucket index are both calculated. The indexes are used to add data to the histograms (e.g., 1000, 1100). Determination of the bucket indexes is discussed in more detail elsewhere herein. In some embodiments, the promotion raw score may be multiplied by a priority factor (e.g., one, two, or three) prior to obtaining the bucket index. The priority factor may be used to give higher priority (i.e., increase the likelihood of promotion) for some of the storage, possibly selected by a user or by a policy. For example, important operations in an organization may be assigned a higher priority so that storage associated therewith is provided with a priority factor of two or three (or some other value).

Following the step 21158 is a test step 21162 where it is determined if the promotion and demotion bucket indices determined at the step 21158 are the same as the promotion and demotion indices determined for the most recent extent or set of extents. If so, then control passes from the test step 21162 to a step 21164 where the current extent being processed is added to a super-extent data element for the most recent extent or set of extents. The super-extent represents data for a number of contiguous extents having the same promotion and demotion indices. The super-extents are provided to increase efficiency and decrease the amount of storage needed. Note that other criteria may be used to combine information for contiguous extents.

If it is determined at the test step 21162 that the promotion and demotion bucket indices determined at the step 21158 are the same as the promotion and demotion indices determined for the most recent extent or set of extents, then control passes from the test step 21162 to a step 21166 where a new super-extent is created. Adding to an existing super-extent at the step 21164 and creating a new super-extent at the step 21166 are both discussed in more detail elsewhere herein. Following the step 21164 and following the step 21166 is a step 21168 where the index variable, I, is incremented. Following the step 21168, control transfers back to the test step 21154 for another iteration.

If it is determined at the test step 21154 that I, the index variable used to iterate through the storage portions (e.g., extents), is greater than a maximum value (the number of extents being processed), then control transfers from the test step 21154 to a step 21172 where a delay is introduced. Following the step 21172, control transfers back to the step 21152 to reprocess the extents of a data storage space to reconstruct the histograms.

The amount of delay at the step 21172 represents the cycle time for repeatedly reconstructing the histograms. The delay may be a constant and/or may be adjustable depending upon the amount of time spent performing other processing associated with promotion and demotion of data. In some embodiments, the delay may be set so that the histograms are recalculated every ten minutes. It is also possible to keep track of instances where the algorithm does not complete in a certain amount of time (e.g., ten minutes). In such a case, a counter could be incremented each time the algorithm does not complete and decremented when it does. If the counter reaches a certain value (e.g., ten), the system may operate in a degraded mode indicating that data tiering is not being performed properly.

Referring to FIG. 16B, a flow chart 21180 illustrates steps performed in connection with providing values for converting the raw promotion and demotion scores into promotion and demotion indices (buckets). In an embodiment herein, each of the buckets (bins) has a lower boundary of a raw score that falls into a particular bucket. Thus, for example, given a bucket I, a raw score will map to bucket I if the raw score has a value between the lower boundary of bucket I and one less than the lower boundary of bucket I+1. The following describes how the lower boundary values are set for the bins and thus describes how to map raw scores to particular histogram buckets (bins). Accordingly, the processing performed at the step 21158, discussed above, where raw scores are mapped into particular buckets involves finding a particular bucket where the raw score falls between the low boundary thereof and the lower boundary of the next bucket.

Processing begins at a first step 21181 where I, an index variable, is set to one. The index variable, I, is used to iterate through all of the buckets (bins). Following the step 1181 is a test step 1182 where it is determined if I is greater than NBUCKETS, the number of buckets (histogram values) used by the system. In an embodiment herein, NBUCKETS is five thousand, although other values may be used. If it is determined at the step 21182 that I exceeds the number of buckets, then process is complete. Otherwise, control transfers from the step 21182 to test step 21183 where it is determined if I is greater than a pivot value. In an embodiment herein, a linear scale is used for setting a lower boundary for buckets below the pivot value and a logarithmic scale is used for setting the lower boundary for buckets above the pivot value. Determination of the pivot value is discussed in more detail elsewhere herein.

If it is determined at the test step 21183 that I is not greater than the pivot value, then control passes from the test step 21183 to a step 1184 where a linear scale is used for setting the lower boundary of bucket I. In an embodiment herein, the lower boundary is set equal to I (the bucket number) at the step 21184, but of course other mappings are possible. If it is determined at the test step 21183 that I is greater than the pivot value, then control passes from the test step 21183 to a step 21186 where a logarithmic mapping is used. In an embodiment herein, the following formula is used: lower boundary=exp(log(pivot value)+logperbucket*(I-pivot value)) where logperbucket equals (maxlog-minlog)/(numbuckets-pivot value−2), maxlog=log(max raw score), minlog=log (pivot value), and numbuckets is the total number of buckets. In an embodiment herein, numbuckets is five thousand and max raw score is 4,800,000. Of course, other values may be used.

Following the step 21184 or the step 21186 is a step 21188 where I is incremented. Following the step 21188, control transfers back to the step 21182 for another iteration.

As discussed elsewhere herein, determining the low boundary for each of the buckets allows mapping the raw scores into particular buckets at the step 21158, discussed above. A raw score maps to a particular bucket when the raw score is greater than or equal to the low boundary and when the raw score is less than the lower boundary of the next higher bucket. The processing illustrated by the flow chart 21180 constructs a table used to map raw promotion and demotion scores into buckets. The mapping may be performed using a binary search of the table.

Referring to FIG. 16C, a diagram 21200 illustrates a data structure that may be used for storing metadata for a super-extent. The data structure 21200 includes an entry for the promotion bucket index for the super-extent and an entry for the demotion bucket index for the super-extent. The data structure 21200 also includes an entry for the number of extents in the super-extent.

As discussed elsewhere herein, an extent may include a number of sub-extents. In an embodiment herein, there are forty-eight sub-extents for each extent. Some of the sub-extents may be active (i.e., have been accessed within a particular amount of time). In an embodiment herein, a sub-extent is considered active if there has been at least one I/O operation thereon within the last 4½ days and is considered inactive otherwise. The data structure 21200 includes a field indicating the average number of active sub-extents for all of the extents of the super-extent. The value of the average number of active sub-extents field is provided by: (total number of active sub-extents)/(number of extents)

The data structure 21200 also includes a flag field that indicates whether data for a particular super-extent was recently promoted or demoted and to which tier. In some embodiments, it is possible to use the flag field to decide to add a particular super-extent to a histogram and/or whether to demote (or promote) data corresponding to a particular super-extent. For example, in an embodiment herein, data that had been recently promoted to the first or second highest level (according to the flag field) is not considered for demotion to the lowest level and data that been recently promoted to the highest level (according to the flag field) is not considered for demotion at all. Note that handling promotion first followed by demotion may be considered part of the policy. The data structure 21200 may also include other information. In an embodiment herein, the flag indicates whether a corresponding data portion had been promoted or demoted in connection with the previous histogram (e.g., the most recent iteration). Thus, after running the promotion algorithm, the flag may be used to eliminate from the demotion histogram any data that had just been promoted, as described above.

Referring to FIG. 16D, a flow chart 21250 illustrates steps performed in connection with creating a new super-extent at the step 21166, described above. Processing begins at a first step 21252 where space is allocated for the metadata for the super-extent. In an embodiment herein, the super-extent metadata may be provided in the global memory 25 b, although other storage locations are possible, provided that the metadata is accessible to provide the processing described herein.

Following the step 21252 is a step 21254 where the promotion bucket index is set to the value determined at the step 21158, described above. Following the step 21254 is a step 21256 where the demotion bucket index is set. Following the step 21256 is a step 21258 where the number of extents field is set to one. Following the step 21258 is a step 21262 where the value for the average number of active sub-extents field is set according to the number of active sub-extents for the extent and where the number of allocated chunks for the super-extent is set. Following the step 21262 is a step 21264 where the flag field is initialized (e.g., cleared) because the data corresponding to the new super-extent had not been recently promoted or demoted (i.e., marked, according to the flag, as having been promoted or demoted in the previous operation). Following the step 21264, processing is complete.

Referring to FIG. 16E, a flow chart 21280 illustrates steps performed in connection with adding an extent to an existing super-extent at the step 21164, described above. Processing begins at a first step 21282 where the number of extents field is incremented. Following the step 21282 is a step 21284 where the average number of active sub-extents field is adjusted to account for the active sub-extents in the extent being added. Following the step 21284 is a step 21286 where the flag field is modified (e.g., cleared). Following the step 21286, processing is complete.

Referring to FIG. 16F, a flow chart 21300 illustrates steps performed in connection with determining the pivot value. As described elsewhere herein, the pivot value is used to determine when to use a linear scale to set the lower boundary for a bucket index and when to use a log scale to set the lower boundary. It is desirable to set the pivot value so that the log scale does not cause the same lower boundary value to be provided for adjacent buckets. In an embodiment herein, the pivot value is set so that the difference between adjacent lower boundary values is at least one, but a different value for the desired difference may also be used.

Processing for the flow chart 21300 begins at a first step 21302 where a variable, DIFF, is set to zero. The DIFF variable is used to keep track of the difference between the lower boundaries of adjacent buckets as the pivot value is increased. Following the step 21302 is a test step 21304 where it is determined if DIFF is less than one. If not, then processing is complete. Otherwise, control transfers from the test step 21304 to a step 1306 where the pivot value is calculated using the formula: pivot value=1+1/(multiplier−1) where multiplier equals exp (logsperbucket) and where determination of logsperbucket is described above. For the initial determination of logsperbucket prior to first performing the step 21306, it is assumed that pivot value is one so that the initial value of minlog is zero.

Following the step 21306 is a step 21308 where minlog is recalculated. As discussed elsewhere herein, minlog is the log of the pivot value. Following the step 21308 is a step 21312 where logsperbucket is recalculated. Determination of logsperbucket is discussed elsewhere herein. Following the step 21312 is a step 21314 where multiplier (which equals exp(logsperbucket)) is recalculated. Following the step 21314 is a step 21316 where DIFF is recalculated using the formula: DIFF=(pivot value)*multiplier—pivot value

Following the step 21316, control transfers back to the step 21304 for another iteration.

In some embodiments, it is possible to have multiple independent storage groups that share the same physical storage space, where each storage group has its own independent set of thresholds used for tiering data. Note also that, since it is not necessary to provide absolute comparison of statistics of all of the data stored in physical storage space, the system could be implemented with multiple independent processes (possibly executed by different processors) that determine histograms and provide tiering for different storage groups. Construction of the histograms 1000, 1100 may be independent of each other and may be independent of processing that uses the histograms to promote and demote data.

After processing is performed for the first and second storage tiers to determine promotion and demotion thresholds using capacity limits and the first zone's performance limits, an overall performance metric for the SG using the physical drives of the storage tiers just processed is determined. In one embodiment, this performance metric may be the modeled average response time (RT) for the SG across all storage tiers just processed and may be represented in EQUATION 6 as: Average RT=(1/Total I/Os per second)*ΣALL_TIERS(RT of tier*I/O operations per second for the tier) In EQUATION 6, “Total I/Os per second” is the total number or aggregate of I/Os per second across all physical devices of the SG, “Σ ALL_TIERS” is the mathematical summation of the product represented by “(RT of tier*I/O operations per second for the tier)”. It should be noted that the “RT of tier” may represent the average response time of physical devices in a particular tier. Additionally, EQUATION 6 may generally be determined with respect to all SGs and devices thereof currently being evaluated using the techniques herein. The foregoing Average RT may serve as an overall metric regarding performance of the entire SG across all storage tiers considered to determine whether the modeled performance using the response time limits for the first zone is preferable over other response time limits of another zone. The foregoing EQUATION 6 is a weighted average response time calculation that considers the number of I/Os with a given response time. Alternatively, an embodiment may compute an average RT including separate weightings related to technology type. It should be noted in connection with computing the average RT for the SG using EQUATION 6, the RT for each storage tier of the SG is utilized. This RT for each storage tier may be the last modeled RT computed during the histogram traversal as a result of performing promotion and demotion threshold determination and modeling the performance of such proposed data movement candidate data portions. It should be noted that if other criteria, such as utilization, are used in addition to or as an alternative to RT, then an embodiment may compute an overall or average metric across all storage tiers similar to as described above with EQUATION 6. For example, if zones of performance limits are defined for utilization limits for the storage tiers, then a metric for computing average utilization across all storage tiers of devices being evaluated may be used to represent the overall performance criteria used in selecting a set of performance limits in combination with capacity limits, and also the associated promotion/demotion thresholds.

In a similar manner as just described for the first set of performance limits of the first zone, processing is also performed for the next zone 2 (e.g., using the second set of performance limits). Thus, promotion thresholds and an average RT using EQUATION 6 are produced as a result of processing in accordance with capacity limits in combination with performance limits of each zone. After each zone is processed for candidate promotion and demotion thresholds, a determination may be made as to whether to stop further evaluating remaining zones. Such a determination may be made by comparing a first value for the average RT determined using EQUATION 6 for a current zone with second value for the average RT determined using EQUATION 6 for the previously processed zone. For example, after determining promotion and demotion thresholds using zone 1 performance limits in combination with capacity limits (zone 1 scenario) and then zone 2 performance limits in combination with capacity limits (zone 2 scenario), the average RT associated with the zone 1 scenario may be compared to the average RT associated with the zone 2 scenario. If the average RT for zone 2 scenario does not indicate a sufficient or threshold level of improvement over the average RT for zone 1, then no further zones may be evaluated. An embodiment may define a threshold value that represents the minimum amount of improvement expected in order to continue evaluating further zone scenarios (e.g., determining promotion and demotion thresholds using capacity limits and performance limits for subsequently defined zones). An embodiment may determine a difference in metric values obtained for the average RT for the two zone scenarios to be compared. An improvement between zone scenarios may be determined if there is decrease in the average RT (e.g., lower average RT means better overall performance). This decrease may be larger than the threshold in order for a sufficient level of improvement to be determined. Alternatively, an embodiment may set the threshold value to zero so that any decrease in average RT between scenarios is considered sufficient improvement to proceed with evaluating further zone performance limits in combination with capacity limits.

It should be noted that if one of the capacity limits has been exceeded on a preceding iteration of processing for the prior zone, processing using subsequent zones stops. The processing described herein assumes that the lowest storage tier has sufficient capacity to accommodate storage for any data portions not mapped to the other storage tiers.

Referring to FIG. 17, shown is a flowchart 1200 of steps that may be performed in an embodiment in evaluating and modeling performance for different performance limits in combination with capacity limits in an embodiment in accordance with techniques herein. The steps of 1200 summarize processing described above. At step 1202, one or more histograms may be constructed. In step 1204, current zone is set to 1 in connection with commencing processing for the first zone's performance limits. At step 1206, promotion and demotion thresholds are determined in accordance with the capacity limits and performance limits of the current zone. Selection of such thresholds is followed by modeling proposed data movements and determining modeled RTs for all storage tiers for the one or more SGs. At step 1208, the modeled average RT is determined as an overall performance metric across all storage tiers for the one or more SGs. At step 1210, a determination is made as to whether the first zone is currently being processed. If so, control proceeds to step 1214. Otherwise, control proceeds to step 1211 where a determination is made as to whether there has been sufficient improvement with respect to the modeled average RT values for the current zone scenario and the previous zone scenario. If step 1212 evaluates to no, processing stops. If step 1212 evaluates to yes, control proceeds to step 1214 where a determination is made as to whether the capacity limit has been reached. Step 1214 may examine any one or more capacity limits defined such as, for example, capacity limits (e.g., per storage tier, overall SG capacity limits, and the like) as may be defined in an AP, physical limits of drive capacities, and the like. If any one of these capacity limits has been exceeded, step 1214 may evaluate to yes and processing may stop. If step 1214 evaluates to no, control proceeds to step 1216 to increment current zone to the next zone. At step 1218, a determination is made as to whether this is the last zone. If so, processing stops. Otherwise, control proceeds to step 1206.

It should be noted that FIG. 17 illustrates only one particular way in which the performance limit criteria and capacity limit criteria may be used in connection with selecting promotion and/or demotion thresholds based on stopping criteria. An embodiment may vary the stopping criteria. For example, an embodiment may perform the foregoing evaluation of all zones of performance limits and capacity limit(s) and determine an average RT value across all storage tier using EQUATION 6, for each such zone, without consideration of the stopping criteria at steps 1212 and/or 1214 and then select the performance zone limits resulting in the best relative average RT across all storage tiers. As another variation, an embodiment may terminate processing and evaluation of subsequent performance zone limits upon finding a first such zone having performance limits that results in a modeled average RT that is above a defined threshold. Thus, an embodiment in accordance with techniques herein may vary the stopping criteria specified in connection with FIG. 17.

Once processing as described in FIG. 17 is completed, the promotion and demotion thresholds associated with the zone having performance limits resulting in the minimum average RT may be selected for implementation in connection with actually performing the previously modeled data movements. This is described and summarized now with reference to FIG. 18.

With reference to FIG. 18, at step 1302, performance zone limits are selected having the minimum associated average response time as modeled. It should be noted that if other performance criteria and associated limits, such as in connection with utilization limits described elsewhere herein, is utilized, step 1302 may include considering other overall performance metrics besides the average response time across all storage tiers. For example, an embodiment may also consider the overall average utilization across all storage tiers. If the embodiment utilizes more than one overall performance metric, then step 1302 may include evaluating the combination of the overall performance metrics. For example, an embodiment may weight each overall performance metric in connection with step 1302 to select a particular performance zone and associated limit criteria. At step 1304, data movements (e.g., promotion and demotions for the multiple storage tiers) may be performed based on criteria including the promotion and demotion thresholds determined for the selected performance zone limits of step 1302. In step 1306, performance zones may be re-evaluated as needed using techniques described herein. Additionally, the response time limits of the performance zones may also be modified as needed to adjust for any workload changes in the system. In other words, as described elsewhere herein, the performance zones defined should set forth reasonable response time limits based on workload of the system being evaluated. The performance zones may set forth response time criteria that varies as the system workload may vary in order to appropriately and automatically adjust response time limits to accommodate for such variations in workload dynamically. It should be noted that the re-evaluation at step 1306 may be performed in response to an occurrence of any suitable event. For example, such re-evaluation may be performed periodically (e.g., upon the occurrence of a predefined time interval), in response to measured or observed system performance reaching a threshold level (e.g., when the measured or monitored response time of the data storage system reaches a defined threshold level), in response to a user's manual selection, and the like.

For purposes of simplification, examples above considered a single SG. An embodiment may evaluate multiple SGs in combination if they share physical devices or defined pools of devices so that there is a dependency in that they utilize the same data storage resources. Additionally, there may be other consumers of the physical devices beside those under management of an optimizer or other component using the techniques herein for data movement. For example, there may be devices which not under management of such a component performing data movement using techniques herein for any one or more reasons. When considering the performance limits of storage tiers, an embodiment may determine a performance baseline associated with such devices representing the workload of such devices in the system since such devices may be viewed as having consumed or utilized a portion of the allowable performance limits. The performance baseline may be defined as disk utilization or a response time value that a physical storage device or drive would have if the drive only hosted data storage for devices that are not under management by a component using the techniques herein. In one embodiment this may include those portions of thin devices which may not be moved between physical devices such as between storage tiers. An embodiment may determine the baseline performance in any suitable manner for unmovable thin devices. For example, an embodiment may determine the data or thick devices included in a thin device pool servicing the thin device and obtain performance data for each such data device in the thin pool. There is an assumption that the embodiment provides for an distribution of workload within pool data devices. Performance data may be obtained for each moveable thin device using the thin device pool where such performance data indicates the thin device workload as distributed over data devices of the thin pool. For each such data device, the workload associated with unmovable thin devices may be determined by subtracting the distributed movable thin device workload associated with the data device from the observed workload of the data device. In other words, for a data device, the workload of the data device attributable to the moveable thin device is subtracted from the total workload of the data device. The result of the foregoing is an estimate of the data device workload attributable to non-moveable thin device portions.

In connection with the defined performance or comfort zones described herein, it should be noted that such zones are determined for the particular resource or service that may be consumed or utilized. In a similar manner, zones may be defined and evaluated in connection with other resources or services which are consumed or utilized in the data storage system. For example, zones and performance modeling variations may be modeled in connection with varying the amount of cache where cache limits may be placed on data cached for particular thick or data devices, thin devices, and other entities which consume cache. As another example, zones of performance limits may be specified for varying performance limits related to one or more DAs that service physical data storage devices. In a similar manner as described herein for storage tiers of physical devices, different performance criteria may be specified in terms of performance zones of limits. For example, with respect to DAs, utilization may be used as a performance metric for which comfort zones are defined.

In connection with avoiding thrashing, described herein are several techniques that may be utilized such as related to using weighting of long term and short term metrics (e.g., FIG. 10) and using a stationary zone between demotion and promotion thresholds for a storage tier. An embodiment may use different techniques to avoid large changes in promotion and demotion thresholds selected and utilized in successive time periods. An embodiment may determine a running average with respect to promotion and/or demotion thresholds determined using the techniques herein and use the running average as the actual threshold when implementing data movements. The running average of promotion and/or demotion thresholds may be determined, for example, over a period of time, or using N previous threshold values. An embodiment may also increase the number of performance zones evaluated.

It should be noted that the criteria which is evaluated using techniques herein may include capacity limits and performance limits. The processing performed herein provides for adaptive tier overloading protection by allowing the system to automatically select from different sets or zones of performance limits as system workload changes. The particular performance limit criteria of response time specified for each tier in each zone is only an example of a performance limit criteria that may be used in an embodiment. For example, performance limit criteria may use one or more other metrics other than response time, such as I/O processing rate (e.g., number of I/Os/second), #reads/second, #writes/second, service time, queue waiting time or wait time, length and/or number of wait queues, and the like. These one or more other metrics may be used alone or in combination with response time limits. Furthermore an embodiment may associate a different weighting factor with each of the different metrics included in performance limits specified for a zone. The weights used for each of the different metric may vary with performance zone. Furthermore, the actual metrics may also vary with performance zone. For example, it may be that for a first zone, a particular response time limit is being evaluated and other performance limit criteria is also included for evaluation. This additional performance limit criteria (e.g., an additional metric) may not considered in evaluation with other response time limits of other zones.

Furthermore, the particular overall metric of average response time used to select between evaluated performance zones may vary in an embodiment from what is described herein. For example, an embodiment may use a different metric other than average response time, or may use the average response time metric, alone or in combination with, other overall performance criteria to evaluate and select between performance zone limits. For example, as described elsewhere herein, an embodiment may also use utilization as the performance metric, alone or in combination with, response time. In such an embodiment, comfort zones of utilization values may be specified and an average utilization may be determined across all storage tiers in a manner similar to calculating and using average response time in EQUATION 6. Utilization may also be modeled in a manner similar to response time as described, for example, in connection with FIGS. 13 and 13A-13E (e.g, use modeled utilization curves with I/Os per second on the X-axis and utilization on the Y-axis as may be determined through observed and collected data).

Described above are techniques where performance limits and capacity limits are included in the criteria used to determine when limits of a storage tier have been reached. The above-mentioned criteria may include performance limits alone, or performance limits in combination with capacity limits. Furthermore, the above-mentioned criteria used in connection with comfort zones may include capacity limits alone without performance limits.

As another simpler variation of the techniques herein with the promotion and demotion scores, an embodiment may rather not evaluate multiple alternatives or comfort zones and may rather consider a single set of limits or criteria including limits that may be based on performance limits as described above (e.g., response time) in combination with capacity limits, performance limits alone, or capacity limits of the different storage tiers alone without performance limits in connection with determining data portions such as extents stored in the various storage tiers. Described below is processing for an embodiment using capacity limits alone. However, other above-noted criteria (e.g., performance limits alone or in combination with capacity limits) may be used in connection with such processing. For example, consider an embodiment including three storage tiers—a first tier of SSD or EFD devices and second and third tiers of rotating disk drives. The second tier may be, for example, FC 15K RPM drives and the third tier may be, for example, SATA drives. The three storage tiers may be ranked from first to third, in terms of performance, from highest to lowest accordingly. When evaluating which data portions may be stored on, or moved to, the first highest performing tier of EFD drives, promotion scores for extents as described above may be determined. Values for P1-P12 may be selected based on the expected storage tier workload characteristics and performance characteristics of the EFD drives as described elsewhere herein. For determining which extents may be mapped to the EFD storage tier, values of P7-P12 may be selected, for example, based on the expected I/O sizes for the particular EFD drives. Values for P1-P6 may also be selected, for example, based on the expected amount of write activity to account for the fact that performance of the EFD devices degrades with larger amounts of write activity. In a similar manner, demotion scores may be determined for the extents as described above. A first promotion histogram may be formed as described above in connection with FIG. 14 for evaluating which extents may be stored in the EFD storage tier as the target tier. Processing as described in FIG. 19 may be performed to determine which extents may be stored in the first EFD storage tier based on the scores and capacity limit of the EFD tier.

Referring to FIG. 19, shown is a flowchart of steps summarizing processing as described above in connection with determining a single promotion threshold for a single target tier using criteria including capacity limits for the target tier. At step 1452, initialization processing is performed. Step 1452 includes initializing a variable, AMT, that keeps track of the amount of storage portions to zero. Step 1452 also includes initializing an index variable, I, to the maximum score (highest bin). In an embodiment herein, there are five thousand bins, so I would be set to five thousand at the step 1452. Of course, other numbers of bins are also possible. Following step 1452 is step 1254 where AMT is incremented by FREQ[I], the amount of data mapped to bin I. Following the step 1454 is step 1458 where a determination is made as to whether the capacity limit for the current EFD tier have been exceeded. Step 1458 may include comparing the current amount of capacity of the target tier consumed via the modeled mapping represented by AMT to the AP capacity limit. As described elsewhere herein, the total capacity consumed across one or more bins may be determined based on the cumulative frequencies of those bins and the amount of allocated storage of the data portions in the foregoing one or more bins. Step 1458 may include comparing the current amount of capacity of the target tier consumed via the modeled mapping represented by AMT to the SG capacity limit such as may be based on the physical drive capacity limits. If it is determined at the test step 1458 that the established capacity limit has been exceeded, then control passes from the test step 1458 to a step 1462 where the index variable, I, is decremented. Following the step 1462, control passes back to the step 1454 for another iteration. If the capacity limit is exceeded, step 1458 evaluates to yes and control proceeds to step 1464 where a score threshold is assigned the value of I. Data portions having a score of I or higher are promoted to the highest level of storage. Following the step 1464, processing is complete for the first storage tier, the EFD storage tier.

Once the foregoing of FIG. 19 is performed for the EFD or first storage tier using the first promotion histogram whereby a first EFD promotion threshold is determined, new promotion scores may be determined for the remaining extents not placed in the first EFD storage tier in connection with FIG. 19 processing. In other words, FIG. 19 processing determines which extents include the highest ranked promotion scores of the first promotion histogram where such promotion scores may have coefficients selected for the particular EFD storage tier. Such highest ranked extents may be included in the EFD storage tier up to the capacity limit of the EFD storage tier such as may be specified for the SG. Subsequently, new second promotion scores are determined for the remaining extents where the new promotion scores may have different values selected for the coefficients P1-P12 for the second storage tier. The second promotion scores may use values of 1 for coefficients P7-P12 and may select other suitable values for P1-P6 as described elsewhere herein for the second storage tier.

Based on these second promotion scores, a new second promotion histogram as described in FIG. 14 may be formed and used in connection with determining which extents may be promoted or mapped to second storage tier. To determine which extents may be stored in the second storage tier based on the capacity limits of the second storage tier, processing steps of FIG. 19 may be again performed using the second promotion histogram. In this manner, those extents of the second histogram having the highest promotion scores may be stored in the second storage tier up to the capacity limit of the second storage tier. The remaining extents may be placed in the third storage tier.

Once promotion processing has completed, demotion threshold processing may be performed in a manner similar to that as described elsewhere herein with the difference that only capacity limits are utilized where applicable.

In a manner similar to that as described for criteria including only capacity limits to determine a mapping between data portions and physical storage locations on different storage tiers, such criteria may alternatively include, for example, performance limits in combination with capacity limits, or performance limits alone.

It should be noted that although the techniques described herein are used with thin devices providing virtual storage provisioning, the techniques herein may also be used in connection with other types of devices such as those not providing virtual provisioning.

As described herein, a system performing automated storage tiering, such as by an optimizer of a data storage system, may automatically perform data movement optimizations based on the workloads or activity levels of data portions. As the workloads of data portions change, the data portions may be accordingly moved between different storage tiers. At a point in time, the workloads of the different data portions may not be uniform across the entire address space or storage capacity under management by the automated storage tiering techniques. Typically, there is some small amount of data (e.g., a small portion of the total address space or capacity across all data being managed) that has a large amount of the total workload (e.g., across the total address space or capacity of all data being managed), and a larger remaining amount of the data that has a significantly lesser workload than the small amount of data. This difference or variation in workload across data portions may be referred to as workload skew and is described in more detail below.

Techniques described in following paragraphs may be used in an embodiment which performs data movement optimization as included in an automated storage tiering system such as FAST mentioned above. In such an embodiment, techniques described herein may be used in a multi-tiered storage environment with, for example, 3 storage tiers—a first storage tier of flash or SSD drives, a second storage tier of FC 10K or 15K RPM rotating disk drives, and a third storage tier of rotating SATA 7.2K RPM disk drives. The following is the performance ranking, from highest performance to lowest performance, of such tiers based on physical performance capabilities of the different drive types and technologies: flash/EFD or SSD (highest performance), FC (middle or second ranked performance), and SATA (lowest or slowest performance).

It should be noted that an embodiment in accordance with techniques herein which is a multi-tiered storage environment may generally include any other types of physical storage devices, associated protocols (e.g., PCI, SAS, FC), and the like. For example, an embodiment may include storage tiers of any one or more of SAS 10K RPM rotating disk drives, SAS 15K RPM rotating disk drives, and/or SAS 7.2K RPM rotating disk drives alone, or in combination with, tiers of other drives. For example, an embodiment may include 3 storage tiers, ranked from highest to lowest performance, tier 1: EFD, tier 2: SAS 10K or SAS 15K RPM rotating disk drives, and tier 3: SAS 7.2K RPM or NL (near-line) SAS rotating disk drives.

In an embodiment in accordance with techniques herein, the data having the highest or largest workload may be placed in the highest performance tiers. For example, as described elsewhere herein, the data portions may be ranked from highest to lowest in terms of workload or activity. With physical storage across all storage tiers viewed as a logical continuum from highest to lowest I/O activity or workload (e.g., such as in connection with the histogram described above), data may be placed in the tiers with data portions ranked with the highest workload placed in the highest performance tiers. In this manner, a data portion placed in a particular storage tier may have a workload greater than any data portion placed in any tier ranked lower than the particular storage tier in terms of relative performance. The difference or variation in workload across storage tiers may be represented and measured using a skew metric. As described in more detail below, the skew may be represented graphically using multiple skew data points. A skew data point may be represented as a ratio denoting what cumulative or aggregate percentage (Y %) of activity or workload is directed to the cumulative or aggregate busiest X % of the data portions (e.g., X % representing the capacity of the top-ranked X % data portions in terms of activity). Y %=100% may represent the total workload of the system or entities under consideration and X %=100% may represent all the data portions or the entire logical address space to which I/Os may be directed in the system or entities under consideration. The entities under consideration may be those one or more LUNs under management by the automated storage tiering system.

Skew used in an embodiment in accordance with techniques herein may be characterized as effective skew determined by the workload and implementation of automatic tiering. In accordance with at least one embodiment, effective skew may be the skew experienced by the current system under consideration which implements automatic storage tiering. In this manner, effective skew may be used as the skew metric or measurement for a data storage system performing automatic storage tiering. Effective skew may be defined as a ratio denoting what cumulative or aggregate percentage (Y %) of activity or workload is directed to what cumulative or aggregate percentage (X %) of the storage capacity of the highest performing storage tiers. Put another way, effective skew represents that the cumulative or aggregate Y % percentage of the activity is directed to the cumulative or aggregate busiest X % of the data portions (having a capacity of X %) managed by the system where the X % of the data portions are assumed to be the busiest and are placed in the highest performing storage tiers.

It should be noted that techniques described herein in following paragraphs may be used with effective skew (e.g., Y % of activity goes to the X % of the data that the system manages, such as using the storage optimizer, to place on the highest performance tiers) and also the real, actual skew (e.g., Y % of activity goes to the busiest X % of the data portions).

Consistent with description elsewhere herein in an embodiment, the storage tiers may be ranked from highest to lowest performance where the total capacity across all such storage tiers being managed using automated storage tiering represents a value of 100% capacity. For a skew point, the X % represents a percentage of this total 100% capacity filled with data portions having an associated workload whereby the data portions are placed in physical storage locations of tiers from highest to lowest performance with the data portions having the highest workload being placed in the highest performance storage tiers (e.g., such as by the storage optimizer described herein). Therefore, in one embodiment performing data storage movement optimizations such as described above, the X % of the highest performance physical storage is occupied by the busiest X % of the data portions that have Y % of the workload (e.g., data portions ranked from highest to lowest workload, Y % represents the workload of the top ranked data portions stored on X % of the capacity (e.g., the highest performing X % of the physical storage)).

Generally, skew provides an indication or measurement regarding how concentrated the workload is for the busiest X % of the data portions. For example, a skew point of 80/20, where Y=80 and X=20, denotes that 80 percent of the activity or workload is directed to 20 percent of the busiest data portions (e.g., wherein the busiest 20% of the data portions having 80% of the workload). Thus, for a skew point (X, Y), where X and Y are both percentages, X % may represent a percentage of the cumulative or aggregated amount of physical storage consumed to which the aggregated or cumulative workload Y % is directed. For a given X %, the particular corresponding Y % (denoting the workload or activity directed to the X % of the busiest data) may vary depending on one or more characteristics of the system. As described in more detail below, the mapping of X % values to corresponding Y % values for a particular system may be determined using a function, such as an exponential function. At a single point in time, multiple skew values may be determined for different pairs of X % and Y % to form a skew graph of the cumulative or aggregated workload Y % directed to the cumulative or aggregated X % of the most active data portions. Thus, at a point in time, the cumulative workload skew may be represented or approximated as a graph, curve and/or mathematical function(s).

A skew point (X,Y) on a skew graph, may denote that Y percent of the activity is directed to X percent of the storage capacity of the busiest data portions. As described herein, the busiest data portions may be stored in the highest performance tiers. The data portions may be ranked, from highest to lowest, in terms of their respective workloads. Beginning with the data portion having the highest workload, the list of ranked data portions may be traversed and used to fill physical storage device locations beginning, in sequence, with tier 1, tier 2 and then tier 3.

Referring to FIG. 20, shown is a graph illustrating a cumulative workload skew that may be determined and used in an embodiment in accordance with techniques herein. The example 1500 includes a graph that may be determined using a number of skew points as described herein whereby the skew points are used as data points for extrapolating, or more generally, selecting and fitting a curve to the skew points. The resulting curve or graph may be used for any suitable purpose, such as for capacity planning and modeling performance, such as response time, for different data storage system configuration variations. Examples of the foregoing use of the cumulative workload skew are described in more detail in following paragraphs. Given the skew data points, an exponential function may be selected and used as the cumulative workload skew graph. Generally, the selected exponential function characterizes the behavior of the cumulative workload skew graph. The particular exponential function or curve selected may be determined as one that best fits the skew data points. Exponential curve fitting is a technique known in the art in which an exponential function may be determined that best fits the set of data points whereby the number of data points may be any suitable number with the curve originating at (0,0) and ending at (100, 100). For example, in one embodiment, the number of skew points may be equal to the number of storage tiers, number of data portions, and the like.

Curve fitting techniques are known in the art and may be characterized as the process of constructing a curve, or mathematical function, that has the best fit to a series of data points possibly subject to constraints. Curve fitting can involve either interpolation, where an exact fit to the data is required, or smoothing, in which a “smooth” function is constructed that approximately fits the data. In accordance with techniques herein, the resulting fitted curve may be used to infer values of a function beyond and between the values of the data points. Extrapolation refers to the use of a fitted curve beyond the range of the observed data—and is subject to a degree of uncertainty since it may reflect the method used to construct the curve as much as it reflects the observed data.

In the graph of 1500, cumulative capacity percentages (e.g., labeled as percent of capacity) may be denoted on the X axis and cumulative workload percentages (e.g., labeled as percent of aggregated activity) may be denoted on the Y axis. A percentage on the X axis may represent a cumulative percentage of the data with respect to the total capacity. The total capacity may be denoted by the X axis value of 100% of the storage capacity for all the data portions under consideration (which in this example may be for the address space or storage capacity of a single LUN or group of LUNs managed using the automated storage tiering techniques herein). A percentage on the Y axis may represent a cumulative workload percentage, such as a number of I/Os, with respect to the total workload for all data portions under consideration. A Y value of 100% denotes the total workload.

Thus, the various cumulative skew points may be used to form or approximate a cumulative skew curve, graph, or function where each such point may be characterized as a ratio of what cumulative or aggregated percentage of the workload or activity (Y coordinate) is directed to what percentage of the “hottest” or most active data portions (where such most active data portions have a cumulative or aggregated capacity represented as the X coordinate).

It should be noted that the shape of the curve, and thus the particular function characterizing the cumulative workload skew, may vary with the particular data storage system and also one or more factors within a particular data storage system. For example, such factors may include the data granularity or size of the chunk moved in connection with data movement optimizations, the time period granularity for which cumulative workload skew graphs are obtained, the granularity of time for performing data storage movement optimizations (e.g., such as every 6 hours), and the like.

The foregoing may generally characterize cumulative workload skew for a data set which, as noted above, may be used for various applications such as, for example, capacity planning that finds an optimal combination and amount of different physical storage devices and/or different tiers of storage devices for a data storage system configuration. For example, the cumulative skew graph for a data set may be used in determining the quantities of the different types of physical storage devices (e.g., flash or solid state storage devices, SATA drives, SAS drives, FC drives, etc.) to purchase or include in a data storage system configuration based on the expected or current workload distribution across the data set portions as characterized by the cumulative skew graph.

An exemplary embodiment may include a federated storage environment whereby multiple data storage systems may be aggregated into a federation or the federated storage environment. In an embodiment described herein, the data storage systems may be SCSI-based systems, such as a group of SCSI-based data storage arrays, forming the federated storage environment. In connection with a federated storage environment, it may be desirable to migrate or relocate data currently stored in a source data storage system (DS) to a destination DS. It should be noted that the source DS and destination DS may be the same or different type of physical storage array. For example, the source DS may be a first physical type of data storage array and the destination DS may be a later model storage array that is a second physical type different from the first type. For example, the source DS may be a VNX™ data storage system by EMC Corporation and the destination DS may be a Symmetrix VMAX™ data storage system by EMC Corporation. It should be noted that the source and target DSs may be by the same or different vendors.

In such a case, the source DS and destination DS may operate using different data movement granularities (e.g., the two data storage systems may have different sizes specified as an atomic size or unit regarding a portion of data for which data movement optimizations for automated storage tiering are performed). For example, in one embodiment, the data movement size granularity of data portions for which data movement optimizations are performed in a VNX™ data storage system may be a coarser or a larger size than the data movement size granularity of data portions for which data movement optimizations are performed in a Symmetrix VMAX™ data storage system. Consider further the case where the source DS and destination DS are, respectively, a VNX™ data storage system and a Symmetrix VMAX data storage system as described above where the cumulative skew for a given data set in the source DS is known. In this case, it may be desirable to predict or model the expected cumulative skew for the same data set if migrated to the destination DS. In accordance with techniques described herein, the expected cumulative skew for the data set in the destination DS may be determined using, or based on, the known cumulative skew of the data in the source DS.

More generally, given a first source DS with first data movement granularity and first cumulative skew for a data set, it may be desirable to predict or model an expected cumulative skew when the data set of the first source DS is migrated to a second destination DS having a second data movement granularity different from the first data movement granularity. The expected cumulative skew may be used in connection with, for example, determining the number and types of the different physical data storage devices to be included in a configuration of the destination DS, as well as other uses that will be appreciated by those skilled in the art.

Generally, different data storage systems performing data movement optimizations may use different data movement granularities where the cumulative skew of data in a particular data storage system varies with the data movement granularity of the particular data storage system. When using larger data movement granularities, each I/O that contributes to the measured activity or workload may be characterized as activity associated with a larger percentage of the data than if a smaller data movement granularity is used. Described in following paragraphs are techniques that may be used to predict an expected cumulative skew for a data set in a system having a particular data movement granularity based on a known cumulative skew for the data set in another system having a different data movement granularity (e.g., different from the first data movement granularity).

With reference to FIG. 21, shown are different cumulative skew curves L1-L5 for the same data set. As with FIG. 20, cumulative capacity percentages (e.g., labeled as percent of capacity) may be denoted on the X axis and cumulative workload percentages (e.g., labeled as percent of aggregated activity) may be denoted on the Y axis. The curve L1 may represent a known measured cumulative skew for a data set in a first data storage system having a first data movement granularity, such as a 1 GB granularity. The curves L2, L3, L4 and L5 may denote possible predicted cumulative skew curves for the same data set in a system using an 8 MB data movement granularity. It may be unclear which one of the curves L2-L5, if any, sufficiently characterize the predicted cumulative skew for the data set in the system with the 8 MB data movement granularity.

In connection with moving data from a first data storage system having the 1 GB data movement granularity and cumulative skew curve L1, it may be desirable to predict or determine an expected cumulative skew curve if such data is moved to another data storage system having a different data movement granularity, such as 8 MB. As such, it may be desirable to utilize techniques herein to determine a model which may be used to predict or model the expected cumulative skew curve for an 8 MB granularity based on the known cumulative skew curve L1 for the data set based on a 1 GB data movement granularity.

Described in following paragraphs are steps that may be performed to determine cumulative skew curves or graphs for the source and destination data movement granularities based on collected data. Such cumulative skew curves and the collected data may be used to train one or more machine learning regression algorithms each generating a model that may generally converts a first cumulative skew curve based on the source data movement granularity to a modeled or predicted second cumulative skew curve based on the destination movement granularity. If multiple such models are determined, that one or more selection criteria may be used to evaluate and select one such model as optimal (with respect to all such models considered). Subsequently, the selected model may be used, for example, in a capacity planning software application, to predict or model a cumulative skew curve for a data set based on the destination data movement granularity when the same data set is currently in a system having the source data movement granularity with a current cumulative skew curve provided as an input to the model. As also described below, an embodiment may also perform such modeling using one or more selected features which characterize the current cumulative skew curve and/or the data set upon which such current cumulative skew curve is based.

In following paragraphs, it should be noted that examples are described with particular details, such as a source data movement granularity of 1 GB and a destination data movement granularity of 8 MB, which are selected for illustrative purposes and should not be construed as a limitation of techniques herein. In following paragraphs, the example illustrates using techniques herein to determine a prediction model that predicts a cumulative skew curve with an 8 MB data movement granularity based on another cumulative skew curve with a 1 GB data movement granularity.

As a first step, processing may be performed to monitor and collect I/O activity or workload for one or more LUNs. Such monitoring and data collecting may occur over a time period, such as 1 or more days, 1 or more weeks, and the like. For each I/O, information may be recorded in an I/O trace record. For each I/O directed to a LUN in the data set under consideration using techniques herein, information may be recorded in a corresponding entry or record such as illustrated in element 2320 of FIG. 22. I/O trace record 2320 may include a LUN ID 2322, portion number 2324, read I/Os 2326, write I/Os 2327 and the hour 2328 during which the I/O operation is received by the data storage system. The LUN ID 2322 may identify the particular LUN to which the I/O is directed. The portion number 2324 may identify a particular portion number of the LUN to which the I/O is directed. In one embodiment, the LUN's logical address space may be partitioned into portions each of a particular size such as 8 MB. Thus, a portion number may denote a particular subrange of the LUNs logical address space corresponding to a portion number. For example, a LUN having a logical address range of 80 MB may be partitioned into 10 portions each having a size of 8 MB. Portion number 1 denotes the first 8 MB subrange portion (e.g., 1 through 8 MB using a starting logical address of 1) of the LUN's logical address space. Portion number 2 denotes the second or next consecutive 8 MB subrange portion (e.g., 8 MB+1 through 16 MB using a starting logical address of 1) of the LUN's logical address space, and so on for the remaining 8 portions. An I/O may be directed to a particular logical address within the LUN's logical address space where the particular logical address falls within the subrange portion of one of the portion numbers. Portion number 2324 may denote this particular portion number for the recorded I/O trace record 2320. Element 2328 may identify the particular hour within the data monitoring and collection time period that the I/O is observed. For example, if the time period is 48 hours, element 2328 may identify which one of the 48 hours during which the I/O is observed. Element 2326 may identify the number of observed read I/Os directed to the particular data portion corresponding to LUN ID 2322 and portion number 2324 which are observed for the hour denoted by 2328. Element 2327 may identify the number of observed write I/Os directed to the particular data portion corresponding to LUN ID 2322 and portion number 2324 which are observed for the hour denoted by 2328.

It should be noted that the size of each portion may vary and be selected in accordance with the different data movement size granularities of the observed data in the source DS and also the destination DS for which cumulative skew is being modeled or predicted. In this example, the source DS has a source data movement size granularity of 1 GB and the destination DS for which cumulative skew is to be modeled or predicted has a destination data movement size granularity of 8 MB. More generally, any suitable size for each portion may be used.

In one embodiment, the I/Os for which trace records are generated may each correspond to a single front end or logical I/O as received from the host. Each such front end or logical I/O received from a host may generate a single I/O trace record even though the single front end I/O may result in performing multiple read and/or writes to physical storage devices depending on the underlying physical data storage configuration of the physical storage devices (e.g., RAID configuration) provisioned for the LUN.

In one embodiment, the table of I/O trace records 2320 may be stored for each LUN under consideration using techniques herein.

In a second step, the I/O activity or workload information collected in the I/O trace records may be aggregated based on a desired aggregation time period. Such aggregation may be performed for both the source and destination data movement granularities. For example, the aggregation time may be every 6 hours. For illustrative purposes, assume traces of I/O activity are collected over a 24 hour time period. In this case, the information of the monitored I/O trace records may consolidated into 4 aggregation time periods, each for a different 6 hour time block within the 24 hour time period. It should be noted that the aggregation time period may also be referred to as the skew time granularity. In one embodiment, the skew time granularity may be selected based on the frequency at which data movement optimizations are performed in an embodiment. For example, the skew time granularity used as the aggregation time period may be 6 hours if data storage movement optimizations are performed every 6 hours. Thus, the start of each aggregation time period may correspond to the time at which data movement optimizations are performed. It should be noted that the aggregation periods may also overlap whereby collected data may be incorporated in multiple aggregation periods.

Referring to FIG. 23, shown is a table of aggregated workload or activity information that may be used in an embodiment in accordance with techniques herein. The table 2420 may include a row or record of aggregated I/O activity or workload information for each LUN portion during a particular aggregation time period based on the target data movement granularity. Each record may identify an aggregation time period 2410, a LUN ID 2412, a LUN portion number 2414, a number of total read I/Os 2416 and a number of total write I/Os 2418. Continuing with the above example, the aggregation time period 2410 may identify one of the 4 aggregation time periods or 6 hour consecutive time blocks for which the I/O traces are aggregated. The combination of the LUN ID 2412 and Portion number 2414 may identify one of the LUNs and the particular portion of that LUN for which I/O activity or workload is aggregated. In other words, 2412 and 2414 identify a particular 8 MB portion for which I/O activity data is aggregated during the aggregation time period. Element 2416 represents the total number of read I/Os directed to this LUN portion (e.g., by 2412 and 2414) during the particular aggregation period (denoted by 2410). Element 2418 represents the total number of write I/Os directed to this LUN portion (e.g., by 2412 and 2414) during the particular aggregation period (denoted by 2410).

Thus, table 2420 may be a first table representing the aggregated workload or activity information based on the destination data movement granularity size, such as 8 MB. In a similar manner, a second table of aggregated workload or activity information may be determined based on the source data movement granularity size, such as 1 GB.

For example, with reference to FIG. 24, the second table 2520 for the source data movement granularity may be generated based on the first table 2420 by further aggregating the information in a number of consecutive 8 MB LUN portions of the table 2420 whereby the number of consecutive LUN portions whose information is aggregated is based on the source data movement granularity of 1 GB. In this case, 128 LUN portions (each portion being 8 MB) may form a single 1 GB portion. Thus, for example, activity information included in entries of table 2420 for portion numbers 1-128 of LUN 1 for aggregation period 1 may be combined into a single entry represented as 2522.

The table 2520 includes columns 2510, 2512, 2514, 2516 and 2518 which are respectively similar to columns 2410, 2412, 2414, 2416 and 2418 of table 2420 with the difference that 2514 represents a number of LUN portions (e.g., 128 in this example) which collectively have a corresponding address space range equal to the 1 GB source data movement granularity size. Additionally, element 2516 represents the total read I/Os for the aggregation time period (identified by 2510) for all 128 LUN portions (denoted by 2512 and 2514), and element 2518 represents the total write I/Os for the aggregation time period (identified by 2510) for all 128 LUN portions (denoted by 2512 and 2514). To further illustrate, row or entry 2522 identifies the aggregated activity information for aggregation period 1 (column 2510) for 1 GB of capacity formed by portions 1-128 of LUN 1 where P1 (column 2516) denotes the total number of read I/Os directed to this 1 GB of data and P2 (column 2518) denotes the total number of write I/Os directed to this 1 GB of data during aggregation time period 1.

As just described, the entire set of observed data for the total time period, such as 24 hours, may be partitioned into 4 aggregation time periods. The 4 aggregation time periods may correspond to 4 sample data sets. Each of the sample data sets for a single aggregation time period may include entries in tables 2420 and 2520 for that particular aggregation time period. For each of the 4 sample data sets, processing may be performed in a third step to determine a pair of cumulative skew graphs where the pair includes a first cumulative skew curve or graph for the source data movement granularity of 1 GB and a second cumulative skew curve or graph for the destination data movement granularity 8 MB. For an aggregation time period having a corresponding sample data set, the first cumulative skew curve or graph may be determined using the activity information in table 2520 for the aggregation time period, and the second cumulative skew curve or graph may be determined using the activity information in table 2420 for the aggregation time period. To further illustrate how each cumulative skew curve or graph for each of the 4 sample data sets (or 4 aggregation time periods) for the 8 MB data movement granularity may be determined, reference is made to table 2420.

Described below are substeps that may be performed in determining a single cumulative skew graph for a destination granularity of 8 MB for a first one of the four aggregation time periods and associated sample data set. More generally, such substeps may be performed to determine any single cumulative skew graph based on any data movement granularity.

In a first substep, the first sample data set including entries in table 2420 for the first aggregation time period (e.g., denoted by 2410) may be determined. Element 2421 may represent the entries comprising the first same data set for the first aggregation time period. The entries in the first sample data set 2421 may be sorted based on the total I/O activity of each entry. In one embodiment in which the skew is being determined collectively for both read and write activity, total I/O activity for each entry in the first sample data set may be determined as the sum of columns 2416 and 2418. Based on such sums determined for each entry in the first data set for the first aggregation time period, the entries of 2421 may be sorted in decreasing order.

In a second substep, a set of ordered pairs may be generated whereby each ordered pair represents a point on the cumulative skew curve for the destination data movement granularity of 8 MB for the first aggregation time period and associated first sample data set 2421. Generally, each ordered pair may include an X coordinate and a Y coordinate where X is the aggregated capacity ratio and Y is the aggregated I/Os ratio.

As described elsewhere herein, the aggregated capacity ratio, X, is based on the total storage capacity of storage for which the skew curve is determined where such total capacity is 100%. In this case, the total capacity is the total capacity of the portions in the first sample data set for the first aggregation time period. The aggregated I/O ratio, Y, is based on the total I/O activity across all 100% of the storage capacity for which the skew curve is determined.

Assume for simplicity that the sorted entries of the first sample data set 2421 for the first aggregation time period have an order, from highest to lowest activity or workload, as illustrated in the table 2420. In this case, the total capacity of 100% is based on the total amount of storage capacity or number of 8 MB portions represented by the entries in 2421. For example, if the data set 2421 has N entries, the total capacity, TC, used for the capacity ratio is N*8 MB. Similarly, the total I/Os representing 100% used in determining the aggregated I/Os ratio is the total amount of activity or workload for the 8 MB portions represented by entries in the first sample data set 2421. For example, the total activity or workload, TW, may be determined by adding a first sum and a second sum where the first sum is the result of adding the values in column 2416 for all entries in 2421 and the second sum is the result of adding the values in column 2418 for all entries in 2421.

To further illustrate, a first point=(X1 (X coordinate), Y1 (Y coordinate)) for the cumulative skew curve may be determined based on entry 2422 having the highest workload or I/O activity of all entries (e.g., all 8 MB portions) whereby X1=8 MB/TC and Y1=(A1+B1)/TW.

A second point=(X2 (X coordinate), Y2 (Y coordinate)) for the cumulative skew curve may be determined based on the second entry 2424 having the second highest workload or I/O activity of all 8 MB portions whereby X2=16 MB/TC and Y2=(A1+B1+A2+B2)/TW. In this case, X2 has a numerator that is the aggregated capacity of 16 MB of the first and second entries 2422, 2424 for the two portions having the highest ranked workload of all portions in the table 2420. Y2 has a numerator that is the aggregated activity for the two portions having the highest ranked workload of all portions in the table 2420. Similarly, each subsequently ranked entry in the 2421 may be used to generate a successive point of the cumulative skew curve based on the aggregated capacity and aggregated activity of the entry in combination with all higher ranked entries of the first sample data set 2421.

In third substep, a cumulative skew curve may be determined based on the set of ordered pairs generated by the second substep described above. The set of ordered pairs may be further evaluated to fit an exponential function to the set of ordered pairs. Various curve fitting techniques are well known in the art. For example, an embodiment may perform curve fitting for the set of ordered pairs using a technique such as the nonlinear least-squares method.

With reference to table 2520, the foregoing three substeps may be performed in a similar manner to determine a cumulative skew graph based on a 1 GB granularity using entries of 2521 for the first aggregation period. Note that entries of 2421 and 2521 are both based on the same set of raw data for the first aggregation period. Thus, each of 2421 and 2521 may be characterized as entries based on the first sample data set for the first aggregation time period sized for two different granularities of 8 MB and 1 GB. Additionally, the foregoing may be repeated for each of the remaining 3 pairs cumulative skew curves to be determined for the remaining 3 aggregation time periods.

With reference to FIG. 25, shown is a graphical illustration of a pair of cumulative skew graphs that may be determined as a result of performing the foregoing three substeps for a given one of the four sample data sets for one of the four aggregation time periods. As with FIGS. 20 and 21 above, cumulative capacity percentages (e.g., labeled as percent of capacity) may be denoted on the X axis and cumulative workload percentages (e.g., labeled as percent of aggregated activity) may be denoted on the Y axis. In the example 2600, the curve 2602 may represent the cumulative skew curve as determined using the first data set (e.g., based on entries of 2521) for the first aggregation time period for a 1 GB data movement granularity. The curve 2604 may represent the cumulative skew curve as determined using the data using the first data set (e.g., based on entries of 2421) for the first aggregation time period for an 8 MB data movement granularity. Curves 2602 and 2604 may be based on discrete or raw skew points such as determined in the second substep above which are then fit to an exponential function.

In a fourth step, processing may be performed to determine one or more additional features characterizing the collective data set comprising the 4 sample data sets across all 4 aggregation periods. Such features may characterize, for example, one or more aspects of the collective sets of ordered pairs (e.g., raw or discrete skew points) used to determine the fitted curves. Such features may characterize, for example, one or more aspects of the fitted curves determined from the ordered pairs of raw skew points determined in the second substep. It should be noted that such features may be characterized as candidate features that may be optionally used and provided as input to the regression algorithm and thus the output prediction model. As described in more detail below, processing may be performed to evaluate which one or more candidate features, if any, to use along with the source cumulative skew graphs. An embodiment may base such features on the entire set of collected data (e.g., across all 4 of the 6 hour time periods) to determine the candidate features. Inputs to the regression algorithm may be specified that include the 4 pairs of cumulative skew graphs (e.g., for the 4 aggregation time periods of 6 hours) along with particular values for the features for characterizing the portion of the collected data set used to determine each pair of cumulative skew graphs. When providing inputs, particular values for the features may be selected based on the 4 cumulative skew graphs for the 1 GB source granularity.

The features may include, for example, any of the total area under the fitted cumulative skew curve for the 1 GB source granularity, the derivative at each point in the unfitted curve for the 1 GB source granularity, the integral at each point in the unfitted curve for the 1 GB source granularity, the total number of I/Os (e.g., in the sample data set for the aggregation time period data used to determine a single cumulative skew graph), the total capacity (e.g., in the sample data set for the aggregation time period data used to determine a single cumulative skew graph), a ratio regarding the read/write activity (e.g., the ratio the total number of read I/Os determined by summing values in column 2416 to the total number of write I/Os determined by summing values in column 2418 for the sample data set used to determine the single cumulative skew graph), an active capacity (e.g., capacity of data portions for which I/O activity is not idle or 0), active capacity ratio (e.g., ratio of capacity of portions to which any I/Os are directed over the total capacity), total number of read I/Os, total number of write I/Os, idle capacity (e.g., ratio of capacity of portions having no I/O activity to the total capacity), time-based characteristics (e.g., time of day, day or week, month of year, etc. for which data collection occurred), and the like. Generally, in an embodiment, the foregoing features relating to a total or a ratio may be determined with respect to the sample data set for the single aggregation time period data used to determine a single cumulative skew graph.

As a further illustration, a feature may be the read/write ratio noted above. A different value for the read/write ratio may be specified for each of the 4 source cumulative skew curves based on data for the four sample data sets for the 4 different aggregation time periods.

At this point, processing with respect to the example described above may generate 4 pairs of cumulative skew graphs (e.g., one pair for each 6 hour aggregation time period) where each pair includes a first cumulative skew curve based on measured data for the source data movement granularity of 1 GB and a second cumulative skew curve based on measured data for the destination data movement granularity of 8 MB. Additionally, one or more candidate features characterizing the data set may also be determined.

In a fifth step, processing may be performed to train one or more machine learning regression algorithms each of which may output a candidate prediction model. As described in following paragraphs, if there are multiple candidate prediction models, evaluation may be performed to determine and select the best or optimal prediction model from the multiple candidate prediction models. In this fifth step, inputs to each of the machine learning algorithms may include the 4 pairs of cumulative skew graphs where each pair includes a first cumulative skew graph based on the 8 MB granularity and a second cumulative skew graph based on the 1 GB granularity and also any parameter values. Thus, processing is performed to train different machine learning algorithms of regression on our data and compute prediction models. For each prediction model that is computed, evaluation processing may test the goodness of fit in accordance with selection criteria such as an error function. With reference to the example described herein, the fifth step results in finding an optimal prediction model that predicts the cumulative skew graph in 8 MB data movement granularity based on the cumulative skew graph in 1 GB data movement granularity.

In one embodiment, the entire set of collected or observed data for all 4 aggregation time periods may be partitioned into a training data set and a testing data set. For example, the entire data set may be partitioned so that the training set includes approximately 60% of the entire data set and the testing set includes the remaining approximately 40% of the entire data set. It should be noted that, more generally, the data set may be partitioned using any suitable percentages for training and testing.

One or more machine learning algorithms of regression may each be trained using the training data set whereby each such algorithm is used to generate or compute a prediction model. Generally, any suitable machine learning regression algorithm such as those known in the art may be used. For example, an embodiment may use any one or more of the K-nearest neighbor regression algorithm, the recursive partitioning and regression trees algorithm, and the like, as known in the art.

It should be noted that particular feature values may change or vary the predicted cumulative skew graph. In this manner, one or more feature values may be specified as additional inputs or parameters to the machine learning regression algorithms. The regression algorithm is trained to predict the destination granularity cumulative skew curve from the source granularity cumulative skew curve and the additional feature values. Generally, the regression algorithm is trained to determine or generate a prediction model that may include one or more mathematical functions that map the source granularity cumulative skew curve and the additional feature values to the destination granularity cumulative skew curve. The one or more features may be represented or specified as parameters to the one or more mathematical functions of the model. In this manner, the model determined may be trained to also correctly map the particular feature values associated with particular points of the source granularity cumulative skew curve to corresponding points of the destination granularity cumulative skew curve. Additionally, the model may also be trained to vary the mapping between the source and destination cumulative skew curves as needed based on different values specified for each of the one or more features.

Each of the machine learning regression algorithms may be trained for a particular source and destination data movement granularity. If it is desired to vary any of the source and/or destination granularity, then techniques as described herein may be performed to again train the one or more machine learning regression algorithms for the desired particular source and destination granularities.

Referring to FIG. 26, shown is an example illustrating components and data flow in an embodiment in accordance with techniques herein. The example 270 includes regression algorithm 2720 which may include one or more software modules of executable instructions to perform processing to generate a prediction model for a particular selected algorithm. The regression algorithm 2720 may be provided with inputs including the training data set 2710. As described herein in one embodiment, the training data set 2710 may be generally derived from the one or more pairs of cumulative skew graphs and one or more sets of parameter values 2702. In particular, as described herein, the training data set 2710 may be a subset or portion of the one or more pairs of cumulative skew graphs and one or more sets of parameter values 2702. As an output, the regression algorithm generates a prediction model 2712. The prediction model 2712 takes inputs including a first cumulative skew graph in the source data movement granularity and parameter value(s) 2712 a and generates as an output a second predicted cumulative skew graph in the destination data movement granularity 2712 b.

An embodiment may train multiple different regression algorithms thereby generating multiple different prediction models or mathematical mapping functions. In this manner, such processing as described above and illustrated in the example 2800 may be repeated M times (e.g., M being an integer generally greater than zero), once for each of the M different machine learning regression algorithms. The above-mentioned M prediction models may also be referred to herein as candidate prediction models.

In an embodiment, processing may be performed to determine which zero or more features should be provided as input to the prediction model along with the cumulative skew curve/points in the source data movement granularity. Such processing may be performed to evaluate different prediction models which take as input varying number of features and/or various combinations of different features. For example, consider a first simple case where there are no features and the only input provided to the prediction model is the cumulative skew curve for the source data movement granularity. In this first case, a first embodiment may perform processing as described herein where 3 different machine learning regression algorithms are used to determine 3 different candidate predictions models and one of the foregoing 3 candidate prediction models is selected as the best to use in accordance with an error function. As a second alternative case, feature1 and feature2 may be considered along with the cumulative skew curve for the source data movement granularity. In this manner, processing may be performed to determine whether the “best” prediction model should use no features, only feature 1, only feature 2, or both feature 1 and feature 2 along with the cumulative skew curve for the source data movement granularity. A second alternative embodiment may perform processing as described herein for the first embodiment using 3 different machine learning regression algorithms to determine a set of 3 candidate prediction models for each of the 4 possible alternatives or parameter combinations (e.g., no features, only feature 1, only feature 2 or both feature 1 and feature 2). Thus, a total of 12 candidate prediction models may be determined where one of the 12 is selected as the “best” in accordance with an error function. More generally, as described below and elsewhere herein, the error function may be characterized as, and included in, selection criteria used to evaluate which of the candidate prediction models is best or optimal in accordance with the selection criteria.

In a sixth step, processing may be performed to evaluate each of the different candidate prediction models in accordance with selection criteria to determine the best or optimal candidate prediction model. Such evaluation may be performed using the testing data set. In one embodiment, the selection criteria may include an error function that determines a measure of goodness or accuracy for each candidate prediction model. Such an error function may be used as a metric to determine a measurement or value providing a rating for each candidate prediction model. The error function may determine the foregoing measurement of goodness or accuracy for a prediction model by comparing a predicted cumulative skew curve for the destination granularity (the predicted skew being generated using the prediction model and testing data set) with the observed or measured cumulative skew curve for the destination granularity (based on the testing data set).

Referring to FIG. 27, shown is an example illustrating components that select an optimal prediction model in an embodiment in accordance with techniques herein. The example 2800 includes an evaluator module 2810 which takes inputs including a testing data set 2812 and one or more candidate prediction modules 2802. As described elsewhere herein, the testing data set 2812 may be derived from the one or more pairs of cumulative skew graphs and set(s) of parameter values 2702. In particular as described elsewhere herein, the testing data set 2812 may be a subset or portion of the one or more pairs of cumulative skew graphs and set(s) of parameter values 2702. Element 2702 is as described in connection with the example 2700. Element 2802 may represent the one or more candidate prediction models where each may be determined as an output of processing performed such as described in connection with FIG. 26. The evaluator module 2810 may also receive as an input the selection criteria 2814. Based on the inputs provided, the module 2810 may evaluate and select one of the candidate prediction models 2802 (in the event that there are multiple such candidates). The selection criteria 2814 may include the error function used to evaluate the different candidate prediction models 2802 and select one that is determined as the best or optimal prediction model (with respect to the candidates evaluated from 2802).

Any suitable error function known in the art may be used to compare and evaluate, for each model, the predicted and measured cumulative skew curves for the destination granularity. For example, the error function may be determined based on the means squares error (MSE) for the data points in the testing data set. If Ŷ is a vector of “n” predictions, and Y is the vector of the true measured values, then the (estimated) MSE for that particular prediction model may be expressed as:

${MSE} = {\frac{1}{n}{\sum\limits_{i = 1}^{n}{\left( {{\hat{Y}}_{i} - Y_{i}} \right)^{2}.}}}$

As another example, an embodiment may use a customized error function based on a metric for the particular application and/or system, such as for use in a data storage system. For example, the error function may be based on the overall average response time (RT) determined for the predicted and measured cumulative skew curves for the destination granularity. To further illustrate, the area under the measured cumulative skew curve for the destination granularity may be used to determine an overall measured average RT. In a similar manner, the area under the predicted cumulative skew curve for the destination granularity may be used to determine an overall predicted average RT. The error function may represent the absolute value of the difference between the foregoing overall measured and predicted average RTs for a particular prediction model. The prediction model determined as the “best” may have the minimum or smallest error value of all prediction models (e.g., the prediction model have the error function resulting in the smallest difference (absolute value thereof) between the measured and predicted average RTs). It should be noted that an embodiment in accordance with techniques herein may determine the average RT based on the particular processing described herein whereby the most active data are placed on the highest performance tiers. In this case, the capacity of each tier consumed by the different data portions consideration may be presumed to be accordingly filled with the various activity or workload levels of the data portions.

Described below is how an embodiment may determine the average RT across the total capacity for use with such an error function. For simplicity, reference is made to an example including three storage tiers of EFD, FC and SATA drives. Of the total capacity, 10% is EFD, 30% is FC and 60% is SATA.

Referring to FIG. 28, shown is an example of a cumulative skew curve. As with FIGS. 20, 21 and 25 described above, cumulative capacity percentages (e.g., labeled as percent of capacity) may be denoted on the X axis and cumulative workload percentages (e.g., labeled as percent of aggregated activity) may be denoted on the Y axis. The line C1 is drawn from the X axis at a first capacity value of 10% which may represent the capacity boundary for the EFD tier. The line C2 is drawn from the X axis at a second capacity value of 40% which may represent the cumulative capacity boundary for the cumulative capacity of the EFD and FC tiers. The line C2 is drawn from the X axis at a second capacity value of 100% which may represent the cumulative capacity boundary for the cumulative capacity of the EFD, FC and SATA tiers. Area A1 may denote the portion of the total workload directed to the EFD tier. Area A2 may denote the portion of the total workload directed to the FC tier. Area A3 may denote the portion of the total workload directed to the SATA tier. The total workload across all storage tiers may be calculated using collected workload information as described herein whereby the total workload represents the entire area under the curve. Different techniques (e.g., integration) may be used to determine or approximate the area under the entire cumulative skew curve and each of the areas A1, A2 and A3. In this manner, the workload directed to each tier may be determined as a percentage of the entire workload based on a ratio of the areas.

For example, regarding the EFD tier, the area of A1 may be determined and expressed as a ratio with respect to the entire area under the curve (A1+A2+A3) equal to 100% or the total capacity to calculate the workload % for the EFD tier. Thus, the workload for the EFD tier may be determined by multiplying the foregoing workload percentage by the total workload across all tiers. In a similar manner, the workloads for the FC and SATA tiers may be determined. Through monitoring and observation, data may be collected and the following average RTs for each tier may be determined: EFD=1 millisecond (ms), FC=7 ms and SATA=12 ms. Based on such average RTs for each tier and the known workload for each tier, an average response time (RT) across all storage tiers, and thus for the data under consideration, may be determined. The average RT may be determined as in EQUATION 7C below:

${{Overall}\mspace{14mu}{Average}\mspace{14mu}{RT}} = \frac{\sum\limits_{i = 1}^{N}{{Tier}\mspace{14mu} i\mspace{14mu}{IOs}*{Tier}\mspace{14mu} i\mspace{14mu}{average}\mspace{14mu}{RT}}}{\sum\limits_{i = 1}^{N}{{Tier}\mspace{14mu} i\mspace{14mu}{IOs}}}$

As will be appreciated by those skilled in the art, the average RT such as may be determined using EQUATION 7C generally provides an approximation of the average RT.

Based on the foregoing, the overall average RT may be determined for each of the predicted and known cumulative skew curves and used in connection with an error function as noted above to measure how close the predicted average RT of the predicted cumulative skew curve is to the average RT for the cumulative skew curve determined based on measured data.

With reference back to FIG. 27, the selected best or optimal prediction model may be used now to generally model or predict a cumulative skew curve for a destination data movement granularity of 8 MB based on a provided measured cumulative skew curve for a source destination data movement granularity of 1 GB. Techniques herein may be used more generally to predict or model a first cumulative skew curve for any destination data movement granularity based on a second cumulative skew curve for any source data movement granularity. In this manner, the foregoing techniques may be used to generate multiple prediction models for different source and destination movement granularities.

Referring to FIG. 27B, shown is an example illustrating use of the selected optimal prediction model 2820 in an embodiment in accordance with techniques herein. In the example 2860, the selected optimal prediction model 2820 of FIG. 27 generated using techniques herein as described above may now be used. The selected optimal prediction model 2820 may be provided inputs including a first cumulative skew graph in the source data movement granularity along with any one or more parameter value(s) 2862. As described elsewhere herein, such parameter values of 2862 may include feature values characterizing the first cumulative skew graph. As an output, the model 2820 produces a second predicted cumulative skew graph in the destination data movement granularity 2864. As described herein and also known in the art, the second predicted cumulative skew graph in the destination movement granularity 2864 may be used in connection with modeling performance of data moved to a destination data storage system with the destination movement granularity whereby the data is currently located in a source data storage system with the source data movement granularity and has the workload distribution as denoted by the first cumulative skew graph of 2862 and whereby the data in the source data storage system also has characteristics in accordance with the feature values of 2862.

Using techniques herein, a prediction model (e.g. determined as the selected model 2820 for particular source and destination data movement granularities), may be determined offline and then used subsequently to predict or model a destination cumulative skew curve for the destination data movement granularity based on a source cumulative skew curve for the source data movement granularity. One or more such prediction models may be included, for example, in an application which, in real time, may be used to perform capacity planning. For example, a first data set of one or more LUNs is currently stored in a source data storage system having the source data movement granularity. A previously determined first prediction model may be used to predict or model the cumulative skew curve for the first data set in a destination data storage system having the destination data movement granularity. If the first prediction model includes one or more features, such features are also provided as input to the prediction model to determine the destination cumulative skew curve.

Referring to FIG. 29, shown is a flowchart of processing steps that may be performed in an embodiment in accordance with techniques herein. The flowchart 300 summarizes processing steps described above. In step 3002, I/O activity may be monitored for the set of data portions (e.g., one or more LUNs) under consideration for analysis using the techniques herein. As a result of the monitoring, a set of observed activity or workload information may be collected that identifies the various workloads directed to the different data portions. At step 3004, the I/O activity or workload information collected in step 3002 may be aggregated based on a desired aggregation time period thereby partitioning the set of workload information into aggregation time periods. For example, as described above, data collected for a 24 hour time period may be partitioned into 4 time blocks each of 6 consecutive hours (e.g., 4 aggregation time periods). Each such data partition corresponding to an aggregation time may form a different sample data set. Table 2400 of FIG. 23 may, for example, be generated as a result of step 3004 processing. At step 3006, the aggregated workload information may be further aggregated, as needed, for the different source and destination data movement granularities. A first table including the aggregated workload information scaled for the source data movement granularity may be determined. Additionally, a second table including the aggregated workload information scaled for the destination data movement granularity may be determined. FIG. 23 is an example of the foregoing second table in accordance with the destination data movement granularity and FIG. 24 is an example of the foregoing first table in accordance with the source data movement granularity. In this particular embodiment described above, it should be noted that the originally aggregated information (e.g., table 2400 of FIG. 23) generated in step 3004 is already scaled for the destination granularity. In step 3008, a pair of cumulative skew curves is determined for each sample data set associated with one of the aggregation time periods. Additionally one or more features characterizing the set of collected data may be determined. Each pair of cumulative skew curves may include a first cumulative skew curve for the source data movement granularity and a second cumulative skew curve for the destination data movement granularity. In step 3010, processing is performed to train one or more machine learning regression algorithms. Inputs to each of the machine learning regression algorithms to perform the training may include the one or more pairs of cumulative skew curves and feature values as a training data set. Each such trained algorithm outputs a candidate prediction model that determines a predicted cumulative skew curve in a destination data movement granularity based on a cumulative skew curve and associated feature values in a source data movement granularity. In step 3012, each of the candidate prediction models are evaluated and one of the candidates is determined as the best or optimal prediction model. At step 3014, the selected prediction model may be used to predict a cumulative skew curve in the destination movement granularity based on a cumulative skew curve in the source data movement granularity (along with any parameter values needed based on the particular inputs required by the prediction model).

Referring to FIG. 29B, shown is a flowchart providing more detail regarding step 3014 of flowchart 3000. In step 3014 a, inputs are provided to the selected prediction model (e.g., as selected in step 3012), where the inputs include a cumulative skew curve in the source data movement granularity along with any feature values. In step 3014 b, the selected prediction model is applied to the inputs obtained in step 3014 a. In step 3014 c, the prediction model outputs a predicted cumulative skew curve in the destination data movement granularity based on the inputs from step 3014 a.

The techniques herein may be performed by executing code which is stored on any one or more different forms of computer-readable media. Computer-readable media may include different forms of volatile (e.g., RAM) and non-volatile (e.g., ROM, flash memory, magnetic or optical disks, or tape) storage which may be removable or non-removable.

While the invention has been disclosed in connection with preferred embodiments shown and described in detail, their modifications and improvements thereon will become readily apparent to those skilled in the art. Accordingly, the spirit and scope of the present invention should be limited only by the following claims. 

What is claimed is:
 1. A method for predicting cumulative skew curves comprising: determining, using a processor, a first model that generates a predicted destination cumulative skew curve for a specified data set in a destination data storage system having a destination data movement granularity, said predicted destination cumulative skew curve being predicted by the first model in accordance with one or more inputs including a source cumulative skew curve for the specified data set in a source data storage system that uses a source data movement granularity that is different from the destination data movement granularity, wherein said source cumulative skew curve includes a plurality of observed data points each having a first coordinate and a second coordinate, the first coordinate representing a first ratio of a first aggregated capacity with respect to a total capacity, said total capacity representing a total size of a total set of data portions, said first aggregated capacity representing a capacity of a first set of one or more data portions of the total set, each data portion of the first set having a higher workload than any other data portion of the total set that is not included in the first set, the second coordinate representing a second ratio of an aggregated workload with respect to a total workload directed to the total set of data portions whereby the aggregated workload is directed to the first set of one or more data portions; determining, using a processor, the source cumulative skew curve for the specified data set based on observed data; performing, using a processor, first processing using the first model that generates as an output the predicted destination cumulative skew curve having the destination data movement granularity that is different from the source data movement granularity, said first processing including providing the one or more inputs to the first model; performing, using a processor and in accordance with the predicted destination cumulative skew curve for the destination data storage system, capacity planning for the destination data storage system having the destination data movement granularity that is different from the source data movement granularity; and migrating, using a processor, the specified data set from the source data storage system to the destination data storage system that has a configuration based on the capacity planning.
 2. The method of claim 1, wherein the one or more inputs include one or more features determined in accordance with the source cumulative skew curve and the specified data set.
 3. The method of claim 2, wherein the one or more features include any one or more of a total area under a cumulative skew curve, an integral for each point in an unfitted skew curve, a derivative at each point in an unfitted curve, an integral at each point in an unfitted curve, a total number of I/Os, a total capacity, a ratio regarding read/write activity, an active capacity, an active capacity ratio, a total number of read I/Os, a total number of write I/Os, an idle capacity, and one or more time-based characteristics.
 4. The method of claim 1, wherein said predicted destination cumulative skew curve includes a plurality of predicted data points each having a third coordinate and a fourth coordinate, the third coordinate representing a third ratio of a third aggregated capacity with respect to the total capacity, said third aggregated capacity representing a capacity of a third set of one or more data portions of the total set, each data portion of the third set having a higher workload than any other data portion of the total set that is not included in the third set, the fourth coordinate representing a fourth ratio of a second aggregated workload with respect to the total workload whereby the second aggregated workload is directed to the third set of one or more data portions.
 5. The method of claim 1, wherein said determining the first model includes: determining one or more pairs of cumulative skew curves based on first observed data identifying workloads directed to different data portions, each pair of cumulative skew curves including a first cumulative skew curve based on the source data movement granularity and a second cumulative skew curve based on the destination data movement granularity; training a set of one or more machine learning regression algorithms and generating a set of one of more candidate prediction models using the set of one or more machine learning regression algorithms, wherein said training is performed using one or more inputs including at least a first portion of said one or more pairs of cumulative skew curves; testing said set of one or more candidate prediction models using one or more inputs including at least a second portion of said one or more pairs of cumulative skew curves; and determining, in accordance with one or more selection criteria, a first of the one or more candidate prediction models that is optimal in accordance with the one or more selection criteria, wherein the first candidate prediction model is said first model.
 6. The method of claim 5, wherein said training is performed using a first partition of the first observed data and said testing is performed using a second partition of the first observed data.
 7. The method of claim 5, further comprising; monitoring received I/O operations directed to said different data portions for a total time period and generating the first observed data; partitioning said first observed data into a plurality of observed data portions each corresponding to a continuous period of time; scaling data of each of the plurality of observed data portions in accordance with each of the source data movement granularity and the destination data movement granularity; and determining, for each of the plurality of observed data portions, one of said one or more pairs of skew curves based on said each observed data portion.
 8. The method of claim 7, wherein said determining the first model includes: determining a feature set of one or more features which characterize the first observed data; and specifying feature values for the feature set for each cumulative skew curve of the one or more pairs based on the source data movement granularity, said feature values characterizing one of the plurality of observed data portions used in determining said each cumulative skew graph that is based on the source data movement granularity.
 9. The method of claim 5, wherein said one or more selection criteria includes an error function.
 10. The method of claim 1, wherein each of the source cumulative skew curve and the predicted destination cumulative skew curve approximates an exponential function.
 11. The method of claim 1, wherein said source data movement granularity identifies a size of data portions for which data movement optimizations are performed in a source data storage system.
 12. The method of claim 11, wherein said destination data movement granularity identifies a size of data portions for which data movement optimizations are performed in the destination data storage system.
 13. The method of claim 12, wherein the source data storage system includes a first plurality of storage tiers of physical devices and data movement optimizations within the source data storage system automatically move first data portions between different storage tiers based on dynamically changing workload directed to the first data portions, and wherein the destination data storage system includes a second plurality of storage tiers of physical devices and data movement optimizations within the destination data storage system automatically move second data portions between different storage tiers based on dynamically changing workload directed to the second data portions.
 14. The method of claim 1, further comprising: determining another source cumulative skew curve for another specified data set in a data storage system having the source data movement granularity; and performing second processing using the first model that generates as an output another predicted destination cumulative skew curve for the another specified data set in a data storage system having the destination data movement granularity, said second processing including providing another one or more inputs including the another source cumulative skew curve to the first model.
 15. The method of claim 1, wherein performing capacity planning for the destination data storage system includes determining quantities and types of physical storage devices to include in a data storage configuration for the destination data storage system.
 16. The method of claim 1, wherein the predicted destination cumulative skew predicts and models an expected cumulative skew when the specified data set is migrated to the destination data storage system having a data movement granularity different from the source data storage system.
 17. The method of claim 16, wherein the predicted destination cumulative skew is used to model response time performance in different data storage configurations of the destination data storage system.
 18. A non-transitory computer readable medium including code stored thereon that predicts cumulative skew curves, the computer readable medium comprising code stored thereon that, when executed by a processor, performs a method comprising: determining, using a processor, a first model that generates a predicted destination cumulative skew curve for a specified data set in a destination data storage system having a destination data movement granularity, said predicted destination cumulative skew curve being predicted by the first model in accordance with one or more inputs including a source cumulative skew curve for the specified data set in a source data storage system that uses a source data movement granularity that is different from the destination data movement granularity, wherein said source cumulative skew curve includes a plurality of observed data points each having a first coordinate and a second coordinate, the first coordinate representing a first ratio of a first aggregated capacity with respect to a total capacity, said total capacity representing a total size of a total set of data portions, said first aggregated capacity representing a capacity of a first set of one or more data portions of the total set, each data portion of the first set having a higher workload than any other data portion of the total set that is not included in the first set, the second coordinate representing a second ratio of an aggregated workload with respect to a total workload directed to the total set of data portions whereby the aggregated workload is directed to the first set of one or more data portions; determining, using a processor, the source cumulative skew curve for the specified data set based on observed data; performing, using a processor, first processing using the first model that generates as an output the predicted destination cumulative skew curve having the destination data movement granularity that is different from the source data movement granularity, said first processing including providing the one or more inputs to the first model; performing, using a processor and in accordance with the predicted destination cumulative skew curve for the destination data storage system, capacity planning for the destination data storage system having the destination data movement granularity that is different from the source data movement granularity; and migrating, using a processor, the specified data set from the source data storage system to the destination data storage system that has a configuration based on the capacity planning.
 19. The non-transitory computer readable medium of claim 18, wherein the one or more inputs include one or more features determined in accordance with the source cumulative skew curve and the specified data set.
 20. The non-transitory computer readable medium of claim 19, wherein the one or more features include any one or more of a total area under a cumulative skew curve, an integral for each point in an unfitted skew curve, a derivative at each point in an unfitted curve, an integral at each point in an unfitted curve, a total number of I/Os, a total capacity, a ratio regarding read/write activity, an active capacity, an active capacity ratio, a total number of read I/Os, a total number of write I/Os, an idle capacity, and one or more time-based characteristics.
 21. A system comprising: a source data storage system including a specified data set stored on one or more devices of the source data storage system, wherein said source data storage system performs data movement optimizations that automatically move data portions between different storage tiers based on dynamically changing workload directed to data portions, wherein data movement optimizations in the source data storage system move data portions each of which has a size equal to a source data movement granularity; a destination data storage system that performs data movement optimizations that automatically move data portions between different storage tiers based on dynamically changing workload directed to data portions, wherein data movement optimizations in the destination data storage system move data portions each of which has a size equal to a destination data movement granularity; and a memory including code stored therein that predicts cumulative skew curves, wherein the code, when executed by a processor, performs a method comprising: determining, using a processor, a first model that generates a predicted destination cumulative skew curve for the specified data set in the destination data storage system having the destination data movement granularity, said predicted destination cumulative skew curve being predicted by the first model in accordance with one or more inputs including a source cumulative skew curve for the specified data set in the source data storage system that uses the source data movement granularity that is different from the destination data movement granularity, wherein said source cumulative skew curve includes a plurality of observed data points each having a first coordinate and a second coordinate, the first coordinate representing a first ratio of a first aggregated capacity with respect to a total capacity, said total capacity representing a total size of a total set of data portions, said first aggregated capacity representing a capacity of a first set of one or more data portions of the total set, each data portion of the first set having a higher workload than any other data portion of the total set that is not included in the first set, the second coordinate representing a second ratio of an aggregated workload with respect to a total workload directed to the total set of data portions whereby the aggregated workload is directed to the first set of one or more data portions; determining, using a processor, the source cumulative skew curve for the specified data set based on observed data; performing, using a processor, first processing using the first model that generates as an output the predicted destination cumulative skew curve having the destination data movement granularity that is different from the source data movement granularity, said first processing including providing the one or more inputs to the first model; performing, using a processor and in accordance with the predicted destination cumulative skew curve for the destination data storage system, capacity planning for the destination data storage system having the destination data movement granularity that is different from the source data movement granularity; and migrating, using a processor, the specified data set from the source data storage system to the destination data storage system that has a configuration based on the capacity planning. 